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Finding the Fourth Proportional to 610.15, 841.52 and 410.92

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Solution

The fourth proportional to 610.15, 841.52 and 410.92 is: 566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.15 : 841.52 = 410.92 : x
  2. Step 2: Convert to fraction form
    610.15/841.52 = 410.92/x
  3. Step 3: Cross multiply
    610.15x = 841.52 × 410.92
  4. Step 4: Simplify right side
    610.15x = 345,801.06
  5. Step 5: Solve for x
    x = 345,801.06/610.15
  6. Step 6: Final answer
    x = 566.75

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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.