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Finding the Fourth Proportional to 876.81, 1,314.86 and 437.91

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Solution

The fourth proportional to 876.81, 1,314.86 and 437.91 is: 656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.81 : 1,314.86 = 437.91 : x
  2. Step 2: Convert to fraction form
    876.81/1,314.86 = 437.91/x
  3. Step 3: Cross multiply
    876.81x = 1,314.86 × 437.91
  4. Step 4: Simplify right side
    876.81x = 575,790.34
  5. Step 5: Solve for x
    x = 575,790.34/876.81
  6. Step 6: Final answer
    x = 656.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.