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Finding the Fourth Proportional to 874.91, 1,207.50 and 543.70

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Solution

The fourth proportional to 874.91, 1,207.50 and 543.70 is: 750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.91 : 1,207.50 = 543.70 : x
  2. Step 2: Convert to fraction form
    874.91/1,207.50 = 543.70/x
  3. Step 3: Cross multiply
    874.91x = 1,207.50 × 543.70
  4. Step 4: Simplify right side
    874.91x = 656,511.71
  5. Step 5: Solve for x
    x = 656,511.71/874.91
  6. Step 6: Final answer
    x = 750.38

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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.