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Finding the Fourth Proportional to 900.77, 1,243.10 and 507.83

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Solution

The fourth proportional to 900.77, 1,243.10 and 507.83 is: 700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.77 : 1,243.10 = 507.83 : x
  2. Step 2: Convert to fraction form
    900.77/1,243.10 = 507.83/x
  3. Step 3: Cross multiply
    900.77x = 1,243.10 × 507.83
  4. Step 4: Simplify right side
    900.77x = 631,278.53
  5. Step 5: Solve for x
    x = 631,278.53/900.77
  6. Step 6: Final answer
    x = 700.82

Related Problems

Find fourth proportional to 450.38, 621.55 and 253.91
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.