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Finding the Fourth Proportional to 978.11, 1,349.75 and 558.53

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Solution

The fourth proportional to 978.11, 1,349.75 and 558.53 is: 770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.11 : 1,349.75 = 558.53 : x
  2. Step 2: Convert to fraction form
    978.11/1,349.75 = 558.53/x
  3. Step 3: Cross multiply
    978.11x = 1,349.75 × 558.53
  4. Step 4: Simplify right side
    978.11x = 753,872.43
  5. Step 5: Solve for x
    x = 753,872.43/978.11
  6. Step 6: Final answer
    x = 770.75

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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.