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Finding the Fourth Proportional to 1,234.64, 1,703.13 and 860.96

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Solution

The fourth proportional to 1,234.64, 1,703.13 and 860.96 is: 1,187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.64 : 1,703.13 = 860.96 : x
  2. Step 2: Convert to fraction form
    1,234.64/1,703.13 = 860.96/x
  3. Step 3: Cross multiply
    1,234.64x = 1,703.13 × 860.96
  4. Step 4: Simplify right side
    1,234.64x = 1,466,327.83
  5. Step 5: Solve for x
    x = 1,466,327.83/1,234.64
  6. Step 6: Final answer
    x = 1,187.65

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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.