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Finding the Fourth Proportional to 896.80, 1,237.20 and 585.76

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Solution

The fourth proportional to 896.80, 1,237.20 and 585.76 is: 808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.80 : 1,237.20 = 585.76 : x
  2. Step 2: Convert to fraction form
    896.80/1,237.20 = 585.76/x
  3. Step 3: Cross multiply
    896.80x = 1,237.20 × 585.76
  4. Step 4: Simplify right side
    896.80x = 724,702.27
  5. Step 5: Solve for x
    x = 724,702.27/896.80
  6. Step 6: Final answer
    x = 808.10

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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.