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Finding the Fourth Proportional to 1,122.93, 1,684.31 and 473.64

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Solution

The fourth proportional to 1,122.93, 1,684.31 and 473.64 is: 710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.93 : 1,684.31 = 473.64 : x
  2. Step 2: Convert to fraction form
    1,122.93/1,684.31 = 473.64/x
  3. Step 3: Cross multiply
    1,122.93x = 1,684.31 × 473.64
  4. Step 4: Simplify right side
    1,122.93x = 797,754.22
  5. Step 5: Solve for x
    x = 797,754.22/1,122.93
  6. Step 6: Final answer
    x = 710.42

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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.