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Finding the Fourth Proportional to 652.80, 974.44 and 575.04

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Solution

The fourth proportional to 652.80, 974.44 and 575.04 is: 858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.80 : 974.44 = 575.04 : x
  2. Step 2: Convert to fraction form
    652.80/974.44 = 575.04/x
  3. Step 3: Cross multiply
    652.80x = 974.44 × 575.04
  4. Step 4: Simplify right side
    652.80x = 560,341.98
  5. Step 5: Solve for x
    x = 560,341.98/652.80
  6. Step 6: Final answer
    x = 858.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.