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Finding the Fourth Proportional to 1,182.42, 1,770.48 and 815.58

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Solution

The fourth proportional to 1,182.42, 1,770.48 and 815.58 is: 1,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.42 : 1,770.48 = 815.58 : x
  2. Step 2: Convert to fraction form
    1,182.42/1,770.48 = 815.58/x
  3. Step 3: Cross multiply
    1,182.42x = 1,770.48 × 815.58
  4. Step 4: Simplify right side
    1,182.42x = 1,443,968.08
  5. Step 5: Solve for x
    x = 1,443,968.08/1,182.42
  6. Step 6: Final answer
    x = 1,221.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.