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Finding the Fourth Proportional to 527.44, 728.28 and 429.04

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Solution

The fourth proportional to 527.44, 728.28 and 429.04 is: 592.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.44 : 728.28 = 429.04 : x
  2. Step 2: Convert to fraction form
    527.44/728.28 = 429.04/x
  3. Step 3: Cross multiply
    527.44x = 728.28 × 429.04
  4. Step 4: Simplify right side
    527.44x = 312,461.25
  5. Step 5: Solve for x
    x = 312,461.25/527.44
  6. Step 6: Final answer
    x = 592.41

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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.