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Finding the Fourth Proportional to 649.15, 972.47 and 579.91

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Solution

The fourth proportional to 649.15, 972.47 and 579.91 is: 868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.15 : 972.47 = 579.91 : x
  2. Step 2: Convert to fraction form
    649.15/972.47 = 579.91/x
  3. Step 3: Cross multiply
    649.15x = 972.47 × 579.91
  4. Step 4: Simplify right side
    649.15x = 563,942.18
  5. Step 5: Solve for x
    x = 563,942.18/649.15
  6. Step 6: Final answer
    x = 868.74

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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.