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Finding the Fourth Proportional to 948.17, 1,423.80 and 585.27

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Solution

The fourth proportional to 948.17, 1,423.80 and 585.27 is: 878.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.17 : 1,423.80 = 585.27 : x
  2. Step 2: Convert to fraction form
    948.17/1,423.80 = 585.27/x
  3. Step 3: Cross multiply
    948.17x = 1,423.80 × 585.27
  4. Step 4: Simplify right side
    948.17x = 833,305.33
  5. Step 5: Solve for x
    x = 833,305.33/948.17
  6. Step 6: Final answer
    x = 878.85

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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.