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Finding the Fourth Proportional to 874.45, 1,206.81 and 501.55

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Solution

The fourth proportional to 874.45, 1,206.81 and 501.55 is: 692.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.45 : 1,206.81 = 501.55 : x
  2. Step 2: Convert to fraction form
    874.45/1,206.81 = 501.55/x
  3. Step 3: Cross multiply
    874.45x = 1,206.81 × 501.55
  4. Step 4: Simplify right side
    874.45x = 605,275.56
  5. Step 5: Solve for x
    x = 605,275.56/874.45
  6. Step 6: Final answer
    x = 692.18

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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.