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Finding the Fourth Proportional to 978.88, 1,468.32 and 706.72

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Solution

The fourth proportional to 978.88, 1,468.32 and 706.72 is: 1,060.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.88 : 1,468.32 = 706.72 : x
  2. Step 2: Convert to fraction form
    978.88/1,468.32 = 706.72/x
  3. Step 3: Cross multiply
    978.88x = 1,468.32 × 706.72
  4. Step 4: Simplify right side
    978.88x = 1,037,691.11
  5. Step 5: Solve for x
    x = 1,037,691.11/978.88
  6. Step 6: Final answer
    x = 1,060.08

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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.