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Finding the Fourth Proportional to 674.32, 1,007.48 and 594.12

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Solution

The fourth proportional to 674.32, 1,007.48 and 594.12 is: 887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.32 : 1,007.48 = 594.12 : x
  2. Step 2: Convert to fraction form
    674.32/1,007.48 = 594.12/x
  3. Step 3: Cross multiply
    674.32x = 1,007.48 × 594.12
  4. Step 4: Simplify right side
    674.32x = 598,564.02
  5. Step 5: Solve for x
    x = 598,564.02/674.32
  6. Step 6: Final answer
    x = 887.66

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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.