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Finding the Fourth Proportional to 652.56, 898.68 and 558.60

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Solution

The fourth proportional to 652.56, 898.68 and 558.60 is: 769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 898.68 = 558.60 : x
  2. Step 2: Convert to fraction form
    652.56/898.68 = 558.60/x
  3. Step 3: Cross multiply
    652.56x = 898.68 × 558.60
  4. Step 4: Simplify right side
    652.56x = 502,002.65
  5. Step 5: Solve for x
    x = 502,002.65/652.56
  6. Step 6: Final answer
    x = 769.28

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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.