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Finding the Fourth Proportional to 649.32, 895.65 and 387.12

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Solution

The fourth proportional to 649.32, 895.65 and 387.12 is: 533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 895.65 = 387.12 : x
  2. Step 2: Convert to fraction form
    649.32/895.65 = 387.12/x
  3. Step 3: Cross multiply
    649.32x = 895.65 × 387.12
  4. Step 4: Simplify right side
    649.32x = 346,724.03
  5. Step 5: Solve for x
    x = 346,724.03/649.32
  6. Step 6: Final answer
    x = 533.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.