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Finding the Fourth Proportional to 1,200.55, 1,656.25 and 868.26

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Solution

The fourth proportional to 1,200.55, 1,656.25 and 868.26 is: 1,197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.55 : 1,656.25 = 868.26 : x
  2. Step 2: Convert to fraction form
    1,200.55/1,656.25 = 868.26/x
  3. Step 3: Cross multiply
    1,200.55x = 1,656.25 × 868.26
  4. Step 4: Simplify right side
    1,200.55x = 1,438,055.63
  5. Step 5: Solve for x
    x = 1,438,055.63/1,200.55
  6. Step 6: Final answer
    x = 1,197.83

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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.