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Finding the Fourth Proportional to 915.98, 1,374.46 and 429.04

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Solution

The fourth proportional to 915.98, 1,374.46 and 429.04 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,374.46 = 429.04 : x
  2. Step 2: Convert to fraction form
    915.98/1,374.46 = 429.04/x
  3. Step 3: Cross multiply
    915.98x = 1,374.46 × 429.04
  4. Step 4: Simplify right side
    915.98x = 589,691.45
  5. Step 5: Solve for x
    x = 589,691.45/915.98
  6. Step 6: Final answer
    x = 643.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.