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Finding the Fourth Proportional to 534.95, 737.78 and 424.25

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Solution

The fourth proportional to 534.95, 737.78 and 424.25 is: 585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.95 : 737.78 = 424.25 : x
  2. Step 2: Convert to fraction form
    534.95/737.78 = 424.25/x
  3. Step 3: Cross multiply
    534.95x = 737.78 × 424.25
  4. Step 4: Simplify right side
    534.95x = 312,997.35
  5. Step 5: Solve for x
    x = 312,997.35/534.95
  6. Step 6: Final answer
    x = 585.10

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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.