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Finding the Fourth Proportional to 645.52, 891.46 and 409.91

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Solution

The fourth proportional to 645.52, 891.46 and 409.91 is: 566.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 891.46 = 409.91 : x
  2. Step 2: Convert to fraction form
    645.52/891.46 = 409.91/x
  3. Step 3: Cross multiply
    645.52x = 891.46 × 409.91
  4. Step 4: Simplify right side
    645.52x = 365,417.13
  5. Step 5: Solve for x
    x = 365,417.13/645.52
  6. Step 6: Final answer
    x = 566.08

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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.