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Finding the Fourth Proportional to 534.79, 737.77 and 424.43

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Solution

The fourth proportional to 534.79, 737.77 and 424.43 is: 585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.79 : 737.77 = 424.43 : x
  2. Step 2: Convert to fraction form
    534.79/737.77 = 424.43/x
  3. Step 3: Cross multiply
    534.79x = 737.77 × 424.43
  4. Step 4: Simplify right side
    534.79x = 313,131.72
  5. Step 5: Solve for x
    x = 313,131.72/534.79
  6. Step 6: Final answer
    x = 585.52

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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.