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Finding the Fourth Proportional to 1,188.69, 1,781.41 and 572.35

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Solution

The fourth proportional to 1,188.69, 1,781.41 and 572.35 is: 857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.69 : 1,781.41 = 572.35 : x
  2. Step 2: Convert to fraction form
    1,188.69/1,781.41 = 572.35/x
  3. Step 3: Cross multiply
    1,188.69x = 1,781.41 × 572.35
  4. Step 4: Simplify right side
    1,188.69x = 1,019,590.01
  5. Step 5: Solve for x
    x = 1,019,590.01/1,188.69
  6. Step 6: Final answer
    x = 857.74

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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.