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Finding the Fourth Proportional to 795.59, 1,192.70 and 308.98

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Solution

The fourth proportional to 795.59, 1,192.70 and 308.98 is: 463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.59 : 1,192.70 = 308.98 : x
  2. Step 2: Convert to fraction form
    795.59/1,192.70 = 308.98/x
  3. Step 3: Cross multiply
    795.59x = 1,192.70 × 308.98
  4. Step 4: Simplify right side
    795.59x = 368,515.92
  5. Step 5: Solve for x
    x = 368,515.92/795.59
  6. Step 6: Final answer
    x = 463.20

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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.