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Finding the Fourth Proportional to 910.62, 1,363.17 and 585.30

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Solution

The fourth proportional to 910.62, 1,363.17 and 585.30 is: 876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.62 : 1,363.17 = 585.30 : x
  2. Step 2: Convert to fraction form
    910.62/1,363.17 = 585.30/x
  3. Step 3: Cross multiply
    910.62x = 1,363.17 × 585.30
  4. Step 4: Simplify right side
    910.62x = 797,863.40
  5. Step 5: Solve for x
    x = 797,863.40/910.62
  6. Step 6: Final answer
    x = 876.18

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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.