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Finding the Fourth Proportional to 1,301.46, 1,951.74 and 642.84

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Solution

The fourth proportional to 1,301.46, 1,951.74 and 642.84 is: 964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.46 : 1,951.74 = 642.84 : x
  2. Step 2: Convert to fraction form
    1,301.46/1,951.74 = 642.84/x
  3. Step 3: Cross multiply
    1,301.46x = 1,951.74 × 642.84
  4. Step 4: Simplify right side
    1,301.46x = 1,254,656.54
  5. Step 5: Solve for x
    x = 1,254,656.54/1,301.46
  6. Step 6: Final answer
    x = 964.04

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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.