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Finding the Fourth Proportional to 835.47, 1,250.91 and 561.24

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Solution

The fourth proportional to 835.47, 1,250.91 and 561.24 is: 840.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.47 : 1,250.91 = 561.24 : x
  2. Step 2: Convert to fraction form
    835.47/1,250.91 = 561.24/x
  3. Step 3: Cross multiply
    835.47x = 1,250.91 × 561.24
  4. Step 4: Simplify right side
    835.47x = 702,060.73
  5. Step 5: Solve for x
    x = 702,060.73/835.47
  6. Step 6: Final answer
    x = 840.32

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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.