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Finding the Fourth Proportional to 649.26, 972.64 and 401.74

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Solution

The fourth proportional to 649.26, 972.64 and 401.74 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.26 : 972.64 = 401.74 : x
  2. Step 2: Convert to fraction form
    649.26/972.64 = 401.74/x
  3. Step 3: Cross multiply
    649.26x = 972.64 × 401.74
  4. Step 4: Simplify right side
    649.26x = 390,746.38
  5. Step 5: Solve for x
    x = 390,746.38/649.26
  6. Step 6: Final answer
    x = 601.83

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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.