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Finding the Fourth Proportional to 713.93, 1,070.02 and 324.11

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Solution

The fourth proportional to 713.93, 1,070.02 and 324.11 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.93 : 1,070.02 = 324.11 : x
  2. Step 2: Convert to fraction form
    713.93/1,070.02 = 324.11/x
  3. Step 3: Cross multiply
    713.93x = 1,070.02 × 324.11
  4. Step 4: Simplify right side
    713.93x = 346,807.26
  5. Step 5: Solve for x
    x = 346,807.26/713.93
  6. Step 6: Final answer
    x = 485.78

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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.