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Finding the Fourth Proportional to 649.06, 895.17 and 427.93

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Solution

The fourth proportional to 649.06, 895.17 and 427.93 is: 590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 895.17 = 427.93 : x
  2. Step 2: Convert to fraction form
    649.06/895.17 = 427.93/x
  3. Step 3: Cross multiply
    649.06x = 895.17 × 427.93
  4. Step 4: Simplify right side
    649.06x = 383,070.10
  5. Step 5: Solve for x
    x = 383,070.10/649.06
  6. Step 6: Final answer
    x = 590.19

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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.