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Finding the Fourth Proportional to 534.57, 737.50 and 310.47

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Solution

The fourth proportional to 534.57, 737.50 and 310.47 is: 428.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.57 : 737.50 = 310.47 : x
  2. Step 2: Convert to fraction form
    534.57/737.50 = 310.47/x
  3. Step 3: Cross multiply
    534.57x = 737.50 × 310.47
  4. Step 4: Simplify right side
    534.57x = 228,967.79
  5. Step 5: Solve for x
    x = 228,967.79/534.57
  6. Step 6: Final answer
    x = 428.32

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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.