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Finding the Fourth Proportional to 649.14, 895.83 and 400.47

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Solution

The fourth proportional to 649.14, 895.83 and 400.47 is: 552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.14 : 895.83 = 400.47 : x
  2. Step 2: Convert to fraction form
    649.14/895.83 = 400.47/x
  3. Step 3: Cross multiply
    649.14x = 895.83 × 400.47
  4. Step 4: Simplify right side
    649.14x = 358,750.80
  5. Step 5: Solve for x
    x = 358,750.80/649.14
  6. Step 6: Final answer
    x = 552.66

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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.