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Finding the Fourth Proportional to 874.92, 1,206.48 and 727.50

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Solution

The fourth proportional to 874.92, 1,206.48 and 727.50 is: 1,003.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.92 : 1,206.48 = 727.50 : x
  2. Step 2: Convert to fraction form
    874.92/1,206.48 = 727.50/x
  3. Step 3: Cross multiply
    874.92x = 1,206.48 × 727.50
  4. Step 4: Simplify right side
    874.92x = 877,714.20
  5. Step 5: Solve for x
    x = 877,714.20/874.92
  6. Step 6: Final answer
    x = 1,003.19

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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.