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Finding the Fourth Proportional to 1,077.15, 1,486.50 and 762.98

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Solution

The fourth proportional to 1,077.15, 1,486.50 and 762.98 is: 1,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.15 : 1,486.50 = 762.98 : x
  2. Step 2: Convert to fraction form
    1,077.15/1,486.50 = 762.98/x
  3. Step 3: Cross multiply
    1,077.15x = 1,486.50 × 762.98
  4. Step 4: Simplify right side
    1,077.15x = 1,134,162.34
  5. Step 5: Solve for x
    x = 1,134,162.34/1,077.15
  6. Step 6: Final answer
    x = 1,052.93

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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.