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Finding the Fourth Proportional to 649.63, 895.71 and 614.98

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Solution

The fourth proportional to 649.63, 895.71 and 614.98 is: 847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.63 : 895.71 = 614.98 : x
  2. Step 2: Convert to fraction form
    649.63/895.71 = 614.98/x
  3. Step 3: Cross multiply
    649.63x = 895.71 × 614.98
  4. Step 4: Simplify right side
    649.63x = 550,843.74
  5. Step 5: Solve for x
    x = 550,843.74/649.63
  6. Step 6: Final answer
    x = 847.93

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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.