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Finding the Fourth Proportional to 978.25, 1,349.65 and 558.30

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Solution

The fourth proportional to 978.25, 1,349.65 and 558.30 is: 770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.25 : 1,349.65 = 558.30 : x
  2. Step 2: Convert to fraction form
    978.25/1,349.65 = 558.30/x
  3. Step 3: Cross multiply
    978.25x = 1,349.65 × 558.30
  4. Step 4: Simplify right side
    978.25x = 753,509.60
  5. Step 5: Solve for x
    x = 753,509.60/978.25
  6. Step 6: Final answer
    x = 770.26

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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.