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Finding the Fourth Proportional to 649.14, 972.36 and 551.40

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Solution

The fourth proportional to 649.14, 972.36 and 551.40 is: 825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 972.36 = 551.40 : x
  2. Step 2: Convert to fraction form
    649.14/972.36 = 551.40/x
  3. Step 3: Cross multiply
    649.14x = 972.36 × 551.40
  4. Step 4: Simplify right side
    649.14x = 536,159.30
  5. Step 5: Solve for x
    x = 536,159.30/649.14
  6. Step 6: Final answer
    x = 825.95

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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.