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Finding the Fourth Proportional to 900.76, 1,242.96 and 507.85

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Solution

The fourth proportional to 900.76, 1,242.96 and 507.85 is: 700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.76 : 1,242.96 = 507.85 : x
  2. Step 2: Convert to fraction form
    900.76/1,242.96 = 507.85/x
  3. Step 3: Cross multiply
    900.76x = 1,242.96 × 507.85
  4. Step 4: Simplify right side
    900.76x = 631,237.24
  5. Step 5: Solve for x
    x = 631,237.24/900.76
  6. Step 6: Final answer
    x = 700.78

Related Problems

Find fourth proportional to 450.38, 621.48 and 253.93
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.