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Finding the Fourth Proportional to 724.79, 1,087.38 and 491.51

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Solution

The fourth proportional to 724.79, 1,087.38 and 491.51 is: 737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.79 : 1,087.38 = 491.51 : x
  2. Step 2: Convert to fraction form
    724.79/1,087.38 = 491.51/x
  3. Step 3: Cross multiply
    724.79x = 1,087.38 × 491.51
  4. Step 4: Simplify right side
    724.79x = 534,452.71
  5. Step 5: Solve for x
    x = 534,452.71/724.79
  6. Step 6: Final answer
    x = 737.39

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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.