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Finding the Fourth Proportional to 670.25, 1,001.66 and 538.80

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Solution

The fourth proportional to 670.25, 1,001.66 and 538.80 is: 805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.25 : 1,001.66 = 538.80 : x
  2. Step 2: Convert to fraction form
    670.25/1,001.66 = 538.80/x
  3. Step 3: Cross multiply
    670.25x = 1,001.66 × 538.80
  4. Step 4: Simplify right side
    670.25x = 539,691.71
  5. Step 5: Solve for x
    x = 539,691.71/670.25
  6. Step 6: Final answer
    x = 805.22

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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.