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Finding the Fourth Proportional to 840.65, 1,252.52 and 809.24

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Solution

The fourth proportional to 840.65, 1,252.52 and 809.24 is: 1,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.65 : 1,252.52 = 809.24 : x
  2. Step 2: Convert to fraction form
    840.65/1,252.52 = 809.24/x
  3. Step 3: Cross multiply
    840.65x = 1,252.52 × 809.24
  4. Step 4: Simplify right side
    840.65x = 1,013,582.01
  5. Step 5: Solve for x
    x = 1,013,582.01/840.65
  6. Step 6: Final answer
    x = 1,205.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.