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Finding the Fourth Proportional to 929.05, 1,382.96 and 915.21

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Solution

The fourth proportional to 929.05, 1,382.96 and 915.21 is: 1,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.05 : 1,382.96 = 915.21 : x
  2. Step 2: Convert to fraction form
    929.05/1,382.96 = 915.21/x
  3. Step 3: Cross multiply
    929.05x = 1,382.96 × 915.21
  4. Step 4: Simplify right side
    929.05x = 1,265,698.82
  5. Step 5: Solve for x
    x = 1,265,698.82/929.05
  6. Step 6: Final answer
    x = 1,362.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.