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Finding the Fourth Proportional to 889.77, 1,227.50 and 516.77

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Solution

The fourth proportional to 889.77, 1,227.50 and 516.77 is: 712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.77 : 1,227.50 = 516.77 : x
  2. Step 2: Convert to fraction form
    889.77/1,227.50 = 516.77/x
  3. Step 3: Cross multiply
    889.77x = 1,227.50 × 516.77
  4. Step 4: Simplify right side
    889.77x = 634,326.45
  5. Step 5: Solve for x
    x = 634,326.45/889.77
  6. Step 6: Final answer
    x = 712.91

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Double scale
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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.