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Finding the Fourth Proportional to 915.69, 1,374.76 and 505.02

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Solution

The fourth proportional to 915.69, 1,374.76 and 505.02 is: 758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.69 : 1,374.76 = 505.02 : x
  2. Step 2: Convert to fraction form
    915.69/1,374.76 = 505.02/x
  3. Step 3: Cross multiply
    915.69x = 1,374.76 × 505.02
  4. Step 4: Simplify right side
    915.69x = 694,281.30
  5. Step 5: Solve for x
    x = 694,281.30/915.69
  6. Step 6: Final answer
    x = 758.21

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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.