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Finding the Fourth Proportional to 929.96, 1,387.41 and 896.34

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Solution

The fourth proportional to 929.96, 1,387.41 and 896.34 is: 1,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.96 : 1,387.41 = 896.34 : x
  2. Step 2: Convert to fraction form
    929.96/1,387.41 = 896.34/x
  3. Step 3: Cross multiply
    929.96x = 1,387.41 × 896.34
  4. Step 4: Simplify right side
    929.96x = 1,243,591.08
  5. Step 5: Solve for x
    x = 1,243,591.08/929.96
  6. Step 6: Final answer
    x = 1,337.26

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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.