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Finding the Fourth Proportional to 875.76, 1,207.86 and 640.62

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Solution

The fourth proportional to 875.76, 1,207.86 and 640.62 is: 883.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.76 : 1,207.86 = 640.62 : x
  2. Step 2: Convert to fraction form
    875.76/1,207.86 = 640.62/x
  3. Step 3: Cross multiply
    875.76x = 1,207.86 × 640.62
  4. Step 4: Simplify right side
    875.76x = 773,779.27
  5. Step 5: Solve for x
    x = 773,779.27/875.76
  6. Step 6: Final answer
    x = 883.55

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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.