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Finding the Fourth Proportional to 874.61, 1,206.92 and 626.34

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Solution

The fourth proportional to 874.61, 1,206.92 and 626.34 is: 864.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.61 : 1,206.92 = 626.34 : x
  2. Step 2: Convert to fraction form
    874.61/1,206.92 = 626.34/x
  3. Step 3: Cross multiply
    874.61x = 1,206.92 × 626.34
  4. Step 4: Simplify right side
    874.61x = 755,939.14
  5. Step 5: Solve for x
    x = 755,939.14/874.61
  6. Step 6: Final answer
    x = 864.32

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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.