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Finding the Fourth Proportional to 835.39, 1,252.24 and 560.84

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Solution

The fourth proportional to 835.39, 1,252.24 and 560.84 is: 840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.39 : 1,252.24 = 560.84 : x
  2. Step 2: Convert to fraction form
    835.39/1,252.24 = 560.84/x
  3. Step 3: Cross multiply
    835.39x = 1,252.24 × 560.84
  4. Step 4: Simplify right side
    835.39x = 702,308.01
  5. Step 5: Solve for x
    x = 702,308.01/835.39
  6. Step 6: Final answer
    x = 840.70

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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.