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Finding the Fourth Proportional to 1,627.17, 2,441.17 and 472.92

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Solution

The fourth proportional to 1,627.17, 2,441.17 and 472.92 is: 709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.17 : 2,441.17 = 472.92 : x
  2. Step 2: Convert to fraction form
    1,627.17/2,441.17 = 472.92/x
  3. Step 3: Cross multiply
    1,627.17x = 2,441.17 × 472.92
  4. Step 4: Simplify right side
    1,627.17x = 1,154,483.28
  5. Step 5: Solve for x
    x = 1,154,483.28/1,627.17
  6. Step 6: Final answer
    x = 709.50

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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.