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Finding the Fourth Proportional to 978.46, 1,350.30 and 558.85

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Solution

The fourth proportional to 978.46, 1,350.30 and 558.85 is: 771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.46 : 1,350.30 = 558.85 : x
  2. Step 2: Convert to fraction form
    978.46/1,350.30 = 558.85/x
  3. Step 3: Cross multiply
    978.46x = 1,350.30 × 558.85
  4. Step 4: Simplify right side
    978.46x = 754,615.16
  5. Step 5: Solve for x
    x = 754,615.16/978.46
  6. Step 6: Final answer
    x = 771.23

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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.