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Finding the Fourth Proportional to 798.02, 1,195.50 and 713.24

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Solution

The fourth proportional to 798.02, 1,195.50 and 713.24 is: 1,068.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.02 : 1,195.50 = 713.24 : x
  2. Step 2: Convert to fraction form
    798.02/1,195.50 = 713.24/x
  3. Step 3: Cross multiply
    798.02x = 1,195.50 × 713.24
  4. Step 4: Simplify right side
    798.02x = 852,678.42
  5. Step 5: Solve for x
    x = 852,678.42/798.02
  6. Step 6: Final answer
    x = 1,068.49

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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.