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Finding the Fourth Proportional to 532.40, 734.54 and 364.35

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Solution

The fourth proportional to 532.40, 734.54 and 364.35 is: 502.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 734.54 = 364.35 : x
  2. Step 2: Convert to fraction form
    532.40/734.54 = 364.35/x
  3. Step 3: Cross multiply
    532.40x = 734.54 × 364.35
  4. Step 4: Simplify right side
    532.40x = 267,629.52
  5. Step 5: Solve for x
    x = 267,629.52/532.40
  6. Step 6: Final answer
    x = 502.69

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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.