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Finding the Fourth Proportional to 977.28, 1,468.56 and 915

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Solution

The fourth proportional to 977.28, 1,468.56 and 915 is: 1,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.28 : 1,468.56 = 915 : x
  2. Step 2: Convert to fraction form
    977.28/1,468.56 = 915/x
  3. Step 3: Cross multiply
    977.28x = 1,468.56 × 915
  4. Step 4: Simplify right side
    977.28x = 1,343,732.40
  5. Step 5: Solve for x
    x = 1,343,732.40/977.28
  6. Step 6: Final answer
    x = 1,374.97

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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.