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Finding the Fourth Proportional to 798.74, 1,197.04 and 591.62

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Solution

The fourth proportional to 798.74, 1,197.04 and 591.62 is: 886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,197.04 = 591.62 : x
  2. Step 2: Convert to fraction form
    798.74/1,197.04 = 591.62/x
  3. Step 3: Cross multiply
    798.74x = 1,197.04 × 591.62
  4. Step 4: Simplify right side
    798.74x = 708,192.80
  5. Step 5: Solve for x
    x = 708,192.80/798.74
  6. Step 6: Final answer
    x = 886.64

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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.