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Finding the Fourth Proportional to 1,188.19, 1,781.47 and 572.19

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Solution

The fourth proportional to 1,188.19, 1,781.47 and 572.19 is: 857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.19 : 1,781.47 = 572.19 : x
  2. Step 2: Convert to fraction form
    1,188.19/1,781.47 = 572.19/x
  3. Step 3: Cross multiply
    1,188.19x = 1,781.47 × 572.19
  4. Step 4: Simplify right side
    1,188.19x = 1,019,339.32
  5. Step 5: Solve for x
    x = 1,019,339.32/1,188.19
  6. Step 6: Final answer
    x = 857.89

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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.