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Finding the Fourth Proportional to 471.78, 707.43 and 147.10

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Solution

The fourth proportional to 471.78, 707.43 and 147.10 is: 220.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 707.43 = 147.10 : x
  2. Step 2: Convert to fraction form
    471.78/707.43 = 147.10/x
  3. Step 3: Cross multiply
    471.78x = 707.43 × 147.10
  4. Step 4: Simplify right side
    471.78x = 104,062.95
  5. Step 5: Solve for x
    x = 104,062.95/471.78
  6. Step 6: Final answer
    x = 220.58

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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.