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Finding the Fourth Proportional to 915.14, 1,370.54 and 475.22

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Solution

The fourth proportional to 915.14, 1,370.54 and 475.22 is: 711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.14 : 1,370.54 = 475.22 : x
  2. Step 2: Convert to fraction form
    915.14/1,370.54 = 475.22/x
  3. Step 3: Cross multiply
    915.14x = 1,370.54 × 475.22
  4. Step 4: Simplify right side
    915.14x = 651,308.02
  5. Step 5: Solve for x
    x = 651,308.02/915.14
  6. Step 6: Final answer
    x = 711.70

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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.