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Finding the Fourth Proportional to 1,235.19, 1,701.64 and 861.49

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Solution

The fourth proportional to 1,235.19, 1,701.64 and 861.49 is: 1,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.19 : 1,701.64 = 861.49 : x
  2. Step 2: Convert to fraction form
    1,235.19/1,701.64 = 861.49/x
  3. Step 3: Cross multiply
    1,235.19x = 1,701.64 × 861.49
  4. Step 4: Simplify right side
    1,235.19x = 1,465,945.84
  5. Step 5: Solve for x
    x = 1,465,945.84/1,235.19
  6. Step 6: Final answer
    x = 1,186.82

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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.