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Finding the Fourth Proportional to 978.18, 1,472.54 and 844.20

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Solution

The fourth proportional to 978.18, 1,472.54 and 844.20 is: 1,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.18 : 1,472.54 = 844.20 : x
  2. Step 2: Convert to fraction form
    978.18/1,472.54 = 844.20/x
  3. Step 3: Cross multiply
    978.18x = 1,472.54 × 844.20
  4. Step 4: Simplify right side
    978.18x = 1,243,114.05
  5. Step 5: Solve for x
    x = 1,243,114.05/978.18
  6. Step 6: Final answer
    x = 1,270.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.