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Finding the Fourth Proportional to 875.70, 1,207.86 and 709.92

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Solution

The fourth proportional to 875.70, 1,207.86 and 709.92 is: 979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.70 : 1,207.86 = 709.92 : x
  2. Step 2: Convert to fraction form
    875.70/1,207.86 = 709.92/x
  3. Step 3: Cross multiply
    875.70x = 1,207.86 × 709.92
  4. Step 4: Simplify right side
    875.70x = 857,483.97
  5. Step 5: Solve for x
    x = 857,483.97/875.70
  6. Step 6: Final answer
    x = 979.20

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1.5x scale

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.