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Finding the Fourth Proportional to 978.46, 1,350.40 and 630.16

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Solution

The fourth proportional to 978.46, 1,350.40 and 630.16 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.46 : 1,350.40 = 630.16 : x
  2. Step 2: Convert to fraction form
    978.46/1,350.40 = 630.16/x
  3. Step 3: Cross multiply
    978.46x = 1,350.40 × 630.16
  4. Step 4: Simplify right side
    978.46x = 850,961.31
  5. Step 5: Solve for x
    x = 850,961.31/978.46
  6. Step 6: Final answer
    x = 869.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.