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Finding the Fourth Proportional to 1,182.80, 1,772.88 and 524.47

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Solution

The fourth proportional to 1,182.80, 1,772.88 and 524.47 is: 786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.80 : 1,772.88 = 524.47 : x
  2. Step 2: Convert to fraction form
    1,182.80/1,772.88 = 524.47/x
  3. Step 3: Cross multiply
    1,182.80x = 1,772.88 × 524.47
  4. Step 4: Simplify right side
    1,182.80x = 929,822.37
  5. Step 5: Solve for x
    x = 929,822.37/1,182.80
  6. Step 6: Final answer
    x = 786.12

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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.