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Finding the Fourth Proportional to 1,186.57, 1,778.38 and 527.74

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Solution

The fourth proportional to 1,186.57, 1,778.38 and 527.74 is: 790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.57 : 1,778.38 = 527.74 : x
  2. Step 2: Convert to fraction form
    1,186.57/1,778.38 = 527.74/x
  3. Step 3: Cross multiply
    1,186.57x = 1,778.38 × 527.74
  4. Step 4: Simplify right side
    1,186.57x = 938,522.26
  5. Step 5: Solve for x
    x = 938,522.26/1,186.57
  6. Step 6: Final answer
    x = 790.95

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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.