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Finding the Fourth Proportional to 929.27, 1,401.28 and 916.91

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Solution

The fourth proportional to 929.27, 1,401.28 and 916.91 is: 1,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.27 : 1,401.28 = 916.91 : x
  2. Step 2: Convert to fraction form
    929.27/1,401.28 = 916.91/x
  3. Step 3: Cross multiply
    929.27x = 1,401.28 × 916.91
  4. Step 4: Simplify right side
    929.27x = 1,284,848.86
  5. Step 5: Solve for x
    x = 1,284,848.86/929.27
  6. Step 6: Final answer
    x = 1,382.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.