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Finding the Fourth Proportional to 1,059.91, 1,462.64 and 587.78

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Solution

The fourth proportional to 1,059.91, 1,462.64 and 587.78 is: 811.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.91 : 1,462.64 = 587.78 : x
  2. Step 2: Convert to fraction form
    1,059.91/1,462.64 = 587.78/x
  3. Step 3: Cross multiply
    1,059.91x = 1,462.64 × 587.78
  4. Step 4: Simplify right side
    1,059.91x = 859,710.54
  5. Step 5: Solve for x
    x = 859,710.54/1,059.91
  6. Step 6: Final answer
    x = 811.12

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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.