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Finding the Fourth Proportional to 689.21, 951.05 and 558.53

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Solution

The fourth proportional to 689.21, 951.05 and 558.53 is: 770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.21 : 951.05 = 558.53 : x
  2. Step 2: Convert to fraction form
    689.21/951.05 = 558.53/x
  3. Step 3: Cross multiply
    689.21x = 951.05 × 558.53
  4. Step 4: Simplify right side
    689.21x = 531,187.16
  5. Step 5: Solve for x
    x = 531,187.16/689.21
  6. Step 6: Final answer
    x = 770.72

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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.