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Finding the Fourth Proportional to 532.61, 734.39 and 427.35

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Solution

The fourth proportional to 532.61, 734.39 and 427.35 is: 589.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.61 : 734.39 = 427.35 : x
  2. Step 2: Convert to fraction form
    532.61/734.39 = 427.35/x
  3. Step 3: Cross multiply
    532.61x = 734.39 × 427.35
  4. Step 4: Simplify right side
    532.61x = 313,839.43
  5. Step 5: Solve for x
    x = 313,839.43/532.61
  6. Step 6: Final answer
    x = 589.25

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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.