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Finding the Fourth Proportional to 649.30, 895.71 and 387.04

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Solution

The fourth proportional to 649.30, 895.71 and 387.04 is: 533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.30 : 895.71 = 387.04 : x
  2. Step 2: Convert to fraction form
    649.30/895.71 = 387.04/x
  3. Step 3: Cross multiply
    649.30x = 895.71 × 387.04
  4. Step 4: Simplify right side
    649.30x = 346,675.60
  5. Step 5: Solve for x
    x = 346,675.60/649.30
  6. Step 6: Final answer
    x = 533.92

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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.