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Finding the Fourth Proportional to 532.64, 734.25 and 420.42

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Solution

The fourth proportional to 532.64, 734.25 and 420.42 is: 579.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.64 : 734.25 = 420.42 : x
  2. Step 2: Convert to fraction form
    532.64/734.25 = 420.42/x
  3. Step 3: Cross multiply
    532.64x = 734.25 × 420.42
  4. Step 4: Simplify right side
    532.64x = 308,693.39
  5. Step 5: Solve for x
    x = 308,693.39/532.64
  6. Step 6: Final answer
    x = 579.55

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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.