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Finding the Fourth Proportional to 846.77, 1,270.20 and 326.77

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Solution

The fourth proportional to 846.77, 1,270.20 and 326.77 is: 490.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.77 : 1,270.20 = 326.77 : x
  2. Step 2: Convert to fraction form
    846.77/1,270.20 = 326.77/x
  3. Step 3: Cross multiply
    846.77x = 1,270.20 × 326.77
  4. Step 4: Simplify right side
    846.77x = 415,061.30
  5. Step 5: Solve for x
    x = 415,061.30/846.77
  6. Step 6: Final answer
    x = 490.17

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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.