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Finding the Fourth Proportional to 1,147.31, 1,721.04 and 416.89

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Solution

The fourth proportional to 1,147.31, 1,721.04 and 416.89 is: 625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.31 : 1,721.04 = 416.89 : x
  2. Step 2: Convert to fraction form
    1,147.31/1,721.04 = 416.89/x
  3. Step 3: Cross multiply
    1,147.31x = 1,721.04 × 416.89
  4. Step 4: Simplify right side
    1,147.31x = 717,482.28
  5. Step 5: Solve for x
    x = 717,482.28/1,147.31
  6. Step 6: Final answer
    x = 625.36

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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.