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Finding the Fourth Proportional to 825.70, 1,139.13 and 510.74

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Solution

The fourth proportional to 825.70, 1,139.13 and 510.74 is: 704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.70 : 1,139.13 = 510.74 : x
  2. Step 2: Convert to fraction form
    825.70/1,139.13 = 510.74/x
  3. Step 3: Cross multiply
    825.70x = 1,139.13 × 510.74
  4. Step 4: Simplify right side
    825.70x = 581,799.26
  5. Step 5: Solve for x
    x = 581,799.26/825.70
  6. Step 6: Final answer
    x = 704.61

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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.