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Finding the Fourth Proportional to 900.77, 1,243.08 and 507.78

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Solution

The fourth proportional to 900.77, 1,243.08 and 507.78 is: 700.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.77 : 1,243.08 = 507.78 : x
  2. Step 2: Convert to fraction form
    900.77/1,243.08 = 507.78/x
  3. Step 3: Cross multiply
    900.77x = 1,243.08 × 507.78
  4. Step 4: Simplify right side
    900.77x = 631,211.16
  5. Step 5: Solve for x
    x = 631,211.16/900.77
  6. Step 6: Final answer
    x = 700.75

Related Problems

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Half scale
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Double scale
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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.