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Finding the Fourth Proportional to 1,156.62, 1,735.65 and 472.62

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Solution

The fourth proportional to 1,156.62, 1,735.65 and 472.62 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.62 : 1,735.65 = 472.62 : x
  2. Step 2: Convert to fraction form
    1,156.62/1,735.65 = 472.62/x
  3. Step 3: Cross multiply
    1,156.62x = 1,735.65 × 472.62
  4. Step 4: Simplify right side
    1,156.62x = 820,302.90
  5. Step 5: Solve for x
    x = 820,302.90/1,156.62
  6. Step 6: Final answer
    x = 709.22

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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.