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Finding the Fourth Proportional to 1,165.17, 1,747.71 and 287.67

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Solution

The fourth proportional to 1,165.17, 1,747.71 and 287.67 is: 431.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.17 : 1,747.71 = 287.67 : x
  2. Step 2: Convert to fraction form
    1,165.17/1,747.71 = 287.67/x
  3. Step 3: Cross multiply
    1,165.17x = 1,747.71 × 287.67
  4. Step 4: Simplify right side
    1,165.17x = 502,763.74
  5. Step 5: Solve for x
    x = 502,763.74/1,165.17
  6. Step 6: Final answer
    x = 431.49

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Double scale
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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.