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Finding the Fourth Proportional to 978.56, 1,465.60 and 881.44

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Solution

The fourth proportional to 978.56, 1,465.60 and 881.44 is: 1,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.56 : 1,465.60 = 881.44 : x
  2. Step 2: Convert to fraction form
    978.56/1,465.60 = 881.44/x
  3. Step 3: Cross multiply
    978.56x = 1,465.60 × 881.44
  4. Step 4: Simplify right side
    978.56x = 1,291,838.46
  5. Step 5: Solve for x
    x = 1,291,838.46/978.56
  6. Step 6: Final answer
    x = 1,320.14

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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.