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Finding the Fourth Proportional to 732.80, 1,010.06 and 452.42

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Solution

The fourth proportional to 732.80, 1,010.06 and 452.42 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.80 : 1,010.06 = 452.42 : x
  2. Step 2: Convert to fraction form
    732.80/1,010.06 = 452.42/x
  3. Step 3: Cross multiply
    732.80x = 1,010.06 × 452.42
  4. Step 4: Simplify right side
    732.80x = 456,964.03
  5. Step 5: Solve for x
    x = 456,964.03/732.80
  6. Step 6: Final answer
    x = 623.59

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1.5x scale

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.