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Finding the Fourth Proportional to 696.32, 1,045.02 and 452.78

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Solution

The fourth proportional to 696.32, 1,045.02 and 452.78 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.32 : 1,045.02 = 452.78 : x
  2. Step 2: Convert to fraction form
    696.32/1,045.02 = 452.78/x
  3. Step 3: Cross multiply
    696.32x = 1,045.02 × 452.78
  4. Step 4: Simplify right side
    696.32x = 473,164.16
  5. Step 5: Solve for x
    x = 473,164.16/696.32
  6. Step 6: Final answer
    x = 679.52

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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.