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Finding the Fourth Proportional to 1,147.93, 1,721.28 and 599.56

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Solution

The fourth proportional to 1,147.93, 1,721.28 and 599.56 is: 899.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.93 : 1,721.28 = 599.56 : x
  2. Step 2: Convert to fraction form
    1,147.93/1,721.28 = 599.56/x
  3. Step 3: Cross multiply
    1,147.93x = 1,721.28 × 599.56
  4. Step 4: Simplify right side
    1,147.93x = 1,032,010.64
  5. Step 5: Solve for x
    x = 1,032,010.64/1,147.93
  6. Step 6: Final answer
    x = 899.02

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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.