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Finding the Fourth Proportional to 866.49, 1,195.77 and 473.54

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Solution

The fourth proportional to 866.49, 1,195.77 and 473.54 is: 653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.49 : 1,195.77 = 473.54 : x
  2. Step 2: Convert to fraction form
    866.49/1,195.77 = 473.54/x
  3. Step 3: Cross multiply
    866.49x = 1,195.77 × 473.54
  4. Step 4: Simplify right side
    866.49x = 566,238.95
  5. Step 5: Solve for x
    x = 566,238.95/866.49
  6. Step 6: Final answer
    x = 653.49

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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.