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Finding the Fourth Proportional to 798.30, 1,197.68 and 311.49

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Solution

The fourth proportional to 798.30, 1,197.68 and 311.49 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.30 : 1,197.68 = 311.49 : x
  2. Step 2: Convert to fraction form
    798.30/1,197.68 = 311.49/x
  3. Step 3: Cross multiply
    798.30x = 1,197.68 × 311.49
  4. Step 4: Simplify right side
    798.30x = 373,065.34
  5. Step 5: Solve for x
    x = 373,065.34/798.30
  6. Step 6: Final answer
    x = 467.32

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1.5x scale

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.