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Finding the Fourth Proportional to 978.58, 1,351.20 and 757.18

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Solution

The fourth proportional to 978.58, 1,351.20 and 757.18 is: 1,045.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.58 : 1,351.20 = 757.18 : x
  2. Step 2: Convert to fraction form
    978.58/1,351.20 = 757.18/x
  3. Step 3: Cross multiply
    978.58x = 1,351.20 × 757.18
  4. Step 4: Simplify right side
    978.58x = 1,023,101.62
  5. Step 5: Solve for x
    x = 1,023,101.62/978.58
  6. Step 6: Final answer
    x = 1,045.50

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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.