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Finding the Fourth Proportional to 648.24, 895.17 and 415.77

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Solution

The fourth proportional to 648.24, 895.17 and 415.77 is: 574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.24 : 895.17 = 415.77 : x
  2. Step 2: Convert to fraction form
    648.24/895.17 = 415.77/x
  3. Step 3: Cross multiply
    648.24x = 895.17 × 415.77
  4. Step 4: Simplify right side
    648.24x = 372,184.83
  5. Step 5: Solve for x
    x = 372,184.83/648.24
  6. Step 6: Final answer
    x = 574.15

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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.