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Finding the Fourth Proportional to 579.73, 870.82 and 560.29

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Solution

The fourth proportional to 579.73, 870.82 and 560.29 is: 841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.73 : 870.82 = 560.29 : x
  2. Step 2: Convert to fraction form
    579.73/870.82 = 560.29/x
  3. Step 3: Cross multiply
    579.73x = 870.82 × 560.29
  4. Step 4: Simplify right side
    579.73x = 487,911.74
  5. Step 5: Solve for x
    x = 487,911.74/579.73
  6. Step 6: Final answer
    x = 841.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.