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Finding the Fourth Proportional to 532.50, 734.31 and 433.95

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Solution

The fourth proportional to 532.50, 734.31 and 433.95 is: 598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.50 : 734.31 = 433.95 : x
  2. Step 2: Convert to fraction form
    532.50/734.31 = 433.95/x
  3. Step 3: Cross multiply
    532.50x = 734.31 × 433.95
  4. Step 4: Simplify right side
    532.50x = 318,653.82
  5. Step 5: Solve for x
    x = 318,653.82/532.50
  6. Step 6: Final answer
    x = 598.41

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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.