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Finding the Fourth Proportional to 747.51, 1,121.24 and 285.51

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Solution

The fourth proportional to 747.51, 1,121.24 and 285.51 is: 428.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.51 : 1,121.24 = 285.51 : x
  2. Step 2: Convert to fraction form
    747.51/1,121.24 = 285.51/x
  3. Step 3: Cross multiply
    747.51x = 1,121.24 × 285.51
  4. Step 4: Simplify right side
    747.51x = 320,123.80
  5. Step 5: Solve for x
    x = 320,123.80/747.51
  6. Step 6: Final answer
    x = 428.25

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.