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Finding the Fourth Proportional to 1,182.75, 1,772.56 and 524.40

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Solution

The fourth proportional to 1,182.75, 1,772.56 and 524.40 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.75 : 1,772.56 = 524.40 : x
  2. Step 2: Convert to fraction form
    1,182.75/1,772.56 = 524.40/x
  3. Step 3: Cross multiply
    1,182.75x = 1,772.56 × 524.40
  4. Step 4: Simplify right side
    1,182.75x = 929,530.46
  5. Step 5: Solve for x
    x = 929,530.46/1,182.75
  6. Step 6: Final answer
    x = 785.91

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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.