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Finding the Fourth Proportional to 649.73, 895.94 and 530.82

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Solution

The fourth proportional to 649.73, 895.94 and 530.82 is: 731.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.73 : 895.94 = 530.82 : x
  2. Step 2: Convert to fraction form
    649.73/895.94 = 530.82/x
  3. Step 3: Cross multiply
    649.73x = 895.94 × 530.82
  4. Step 4: Simplify right side
    649.73x = 475,584.20
  5. Step 5: Solve for x
    x = 475,584.20/649.73
  6. Step 6: Final answer
    x = 731.97

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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.