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Finding the Fourth Proportional to 842.52, 1,270.52 and 830.98

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Solution

The fourth proportional to 842.52, 1,270.52 and 830.98 is: 1,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.52 : 1,270.52 = 830.98 : x
  2. Step 2: Convert to fraction form
    842.52/1,270.52 = 830.98/x
  3. Step 3: Cross multiply
    842.52x = 1,270.52 × 830.98
  4. Step 4: Simplify right side
    842.52x = 1,055,776.71
  5. Step 5: Solve for x
    x = 1,055,776.71/842.52
  6. Step 6: Final answer
    x = 1,253.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.