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Finding the Fourth Proportional to 874.77, 1,206.61 and 626.01

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Solution

The fourth proportional to 874.77, 1,206.61 and 626.01 is: 863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,206.61 = 626.01 : x
  2. Step 2: Convert to fraction form
    874.77/1,206.61 = 626.01/x
  3. Step 3: Cross multiply
    874.77x = 1,206.61 × 626.01
  4. Step 4: Simplify right side
    874.77x = 755,349.93
  5. Step 5: Solve for x
    x = 755,349.93/874.77
  6. Step 6: Final answer
    x = 863.48

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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.