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Finding the Fourth Proportional to 697.65, 1,047.43 and 452.39

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Solution

The fourth proportional to 697.65, 1,047.43 and 452.39 is: 679.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.65 : 1,047.43 = 452.39 : x
  2. Step 2: Convert to fraction form
    697.65/1,047.43 = 452.39/x
  3. Step 3: Cross multiply
    697.65x = 1,047.43 × 452.39
  4. Step 4: Simplify right side
    697.65x = 473,842.19
  5. Step 5: Solve for x
    x = 473,842.19/697.65
  6. Step 6: Final answer
    x = 679.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.