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Finding the Fourth Proportional to 718.33, 1,076.07 and 474.12

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Solution

The fourth proportional to 718.33, 1,076.07 and 474.12 is: 710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.33 : 1,076.07 = 474.12 : x
  2. Step 2: Convert to fraction form
    718.33/1,076.07 = 474.12/x
  3. Step 3: Cross multiply
    718.33x = 1,076.07 × 474.12
  4. Step 4: Simplify right side
    718.33x = 510,186.31
  5. Step 5: Solve for x
    x = 510,186.31/718.33
  6. Step 6: Final answer
    x = 710.24

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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.