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Finding the Fourth Proportional to 670.71, 1,006.61 and 667.47

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Solution

The fourth proportional to 670.71, 1,006.61 and 667.47 is: 1,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.71 : 1,006.61 = 667.47 : x
  2. Step 2: Convert to fraction form
    670.71/1,006.61 = 667.47/x
  3. Step 3: Cross multiply
    670.71x = 1,006.61 × 667.47
  4. Step 4: Simplify right side
    670.71x = 671,878.64
  5. Step 5: Solve for x
    x = 671,878.64/670.71
  6. Step 6: Final answer
    x = 1,001.74

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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.