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Finding the Fourth Proportional to 825.71, 1,139.74 and 546.19

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Solution

The fourth proportional to 825.71, 1,139.74 and 546.19 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.71 : 1,139.74 = 546.19 : x
  2. Step 2: Convert to fraction form
    825.71/1,139.74 = 546.19/x
  3. Step 3: Cross multiply
    825.71x = 1,139.74 × 546.19
  4. Step 4: Simplify right side
    825.71x = 622,510.38
  5. Step 5: Solve for x
    x = 622,510.38/825.71
  6. Step 6: Final answer
    x = 753.91

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Double scale
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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.