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Finding the Fourth Proportional to 825.38, 1,139.04 and 530.66

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Solution

The fourth proportional to 825.38, 1,139.04 and 530.66 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.38 : 1,139.04 = 530.66 : x
  2. Step 2: Convert to fraction form
    825.38/1,139.04 = 530.66/x
  3. Step 3: Cross multiply
    825.38x = 1,139.04 × 530.66
  4. Step 4: Simplify right side
    825.38x = 604,442.97
  5. Step 5: Solve for x
    x = 604,442.97/825.38
  6. Step 6: Final answer
    x = 732.32

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1.5x scale

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.