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Finding the Fourth Proportional to 649.91, 896.07 and 474.95

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Solution

The fourth proportional to 649.91, 896.07 and 474.95 is: 654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.91 : 896.07 = 474.95 : x
  2. Step 2: Convert to fraction form
    649.91/896.07 = 474.95/x
  3. Step 3: Cross multiply
    649.91x = 896.07 × 474.95
  4. Step 4: Simplify right side
    649.91x = 425,588.45
  5. Step 5: Solve for x
    x = 425,588.45/649.91
  6. Step 6: Final answer
    x = 654.84

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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.