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Finding the Fourth Proportional to 978.62, 1,459.77 and 885.20

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Solution

The fourth proportional to 978.62, 1,459.77 and 885.20 is: 1,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.62 : 1,459.77 = 885.20 : x
  2. Step 2: Convert to fraction form
    978.62/1,459.77 = 885.20/x
  3. Step 3: Cross multiply
    978.62x = 1,459.77 × 885.20
  4. Step 4: Simplify right side
    978.62x = 1,292,189.90
  5. Step 5: Solve for x
    x = 1,292,189.90/978.62
  6. Step 6: Final answer
    x = 1,320.42

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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.