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Finding the Fourth Proportional to 649.50, 972.88 and 613.56

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Solution

The fourth proportional to 649.50, 972.88 and 613.56 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 972.88 = 613.56 : x
  2. Step 2: Convert to fraction form
    649.50/972.88 = 613.56/x
  3. Step 3: Cross multiply
    649.50x = 972.88 × 613.56
  4. Step 4: Simplify right side
    649.50x = 596,920.25
  5. Step 5: Solve for x
    x = 596,920.25/649.50
  6. Step 6: Final answer
    x = 919.05

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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.