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Finding the Fourth Proportional to 532.84, 734.71 and 434.29

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Solution

The fourth proportional to 532.84, 734.71 and 434.29 is: 598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.84 : 734.71 = 434.29 : x
  2. Step 2: Convert to fraction form
    532.84/734.71 = 434.29/x
  3. Step 3: Cross multiply
    532.84x = 734.71 × 434.29
  4. Step 4: Simplify right side
    532.84x = 319,072.45
  5. Step 5: Solve for x
    x = 319,072.45/532.84
  6. Step 6: Final answer
    x = 598.82

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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.