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Finding the Fourth Proportional to 710.80, 1,066.15 and 326.05

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Solution

The fourth proportional to 710.80, 1,066.15 and 326.05 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.80 : 1,066.15 = 326.05 : x
  2. Step 2: Convert to fraction form
    710.80/1,066.15 = 326.05/x
  3. Step 3: Cross multiply
    710.80x = 1,066.15 × 326.05
  4. Step 4: Simplify right side
    710.80x = 347,618.21
  5. Step 5: Solve for x
    x = 347,618.21/710.80
  6. Step 6: Final answer
    x = 489.05

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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.