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Finding the Fourth Proportional to 1,234.16, 1,701.84 and 767.60

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Solution

The fourth proportional to 1,234.16, 1,701.84 and 767.60 is: 1,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.16 : 1,701.84 = 767.60 : x
  2. Step 2: Convert to fraction form
    1,234.16/1,701.84 = 767.60/x
  3. Step 3: Cross multiply
    1,234.16x = 1,701.84 × 767.60
  4. Step 4: Simplify right side
    1,234.16x = 1,306,332.38
  5. Step 5: Solve for x
    x = 1,306,332.38/1,234.16
  6. Step 6: Final answer
    x = 1,058.48

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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.