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Finding the Fourth Proportional to 1,147.72, 1,720.56 and 417.13

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Solution

The fourth proportional to 1,147.72, 1,720.56 and 417.13 is: 625.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.72 : 1,720.56 = 417.13 : x
  2. Step 2: Convert to fraction form
    1,147.72/1,720.56 = 417.13/x
  3. Step 3: Cross multiply
    1,147.72x = 1,720.56 × 417.13
  4. Step 4: Simplify right side
    1,147.72x = 717,697.19
  5. Step 5: Solve for x
    x = 717,697.19/1,147.72
  6. Step 6: Final answer
    x = 625.32

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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.