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Finding the Fourth Proportional to 806.40, 1,209.06 and 319.20

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Solution

The fourth proportional to 806.40, 1,209.06 and 319.20 is: 478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.40 : 1,209.06 = 319.20 : x
  2. Step 2: Convert to fraction form
    806.40/1,209.06 = 319.20/x
  3. Step 3: Cross multiply
    806.40x = 1,209.06 × 319.20
  4. Step 4: Simplify right side
    806.40x = 385,931.95
  5. Step 5: Solve for x
    x = 385,931.95/806.40
  6. Step 6: Final answer
    x = 478.59

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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.