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Finding the Fourth Proportional to 1,188.02, 1,780.79 and 407.79

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Solution

The fourth proportional to 1,188.02, 1,780.79 and 407.79 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.02 : 1,780.79 = 407.79 : x
  2. Step 2: Convert to fraction form
    1,188.02/1,780.79 = 407.79/x
  3. Step 3: Cross multiply
    1,188.02x = 1,780.79 × 407.79
  4. Step 4: Simplify right side
    1,188.02x = 726,188.35
  5. Step 5: Solve for x
    x = 726,188.35/1,188.02
  6. Step 6: Final answer
    x = 611.26

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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.