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Finding the Fourth Proportional to 978.60, 1,468.98 and 491.52

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Solution

The fourth proportional to 978.60, 1,468.98 and 491.52 is: 737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.60 : 1,468.98 = 491.52 : x
  2. Step 2: Convert to fraction form
    978.60/1,468.98 = 491.52/x
  3. Step 3: Cross multiply
    978.60x = 1,468.98 × 491.52
  4. Step 4: Simplify right side
    978.60x = 722,033.05
  5. Step 5: Solve for x
    x = 722,033.05/978.60
  6. Step 6: Final answer
    x = 737.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.