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Finding the Fourth Proportional to 1,060.59, 1,462.74 and 765.35

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Solution

The fourth proportional to 1,060.59, 1,462.74 and 765.35 is: 1,055.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.59 : 1,462.74 = 765.35 : x
  2. Step 2: Convert to fraction form
    1,060.59/1,462.74 = 765.35/x
  3. Step 3: Cross multiply
    1,060.59x = 1,462.74 × 765.35
  4. Step 4: Simplify right side
    1,060.59x = 1,119,500.75
  5. Step 5: Solve for x
    x = 1,119,500.75/1,060.59
  6. Step 6: Final answer
    x = 1,055.55

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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.