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Finding the Fourth Proportional to 600.80, 826.85 and 508.76

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Solution

The fourth proportional to 600.80, 826.85 and 508.76 is: 700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.80 : 826.85 = 508.76 : x
  2. Step 2: Convert to fraction form
    600.80/826.85 = 508.76/x
  3. Step 3: Cross multiply
    600.80x = 826.85 × 508.76
  4. Step 4: Simplify right side
    600.80x = 420,661.53
  5. Step 5: Solve for x
    x = 420,661.53/600.80
  6. Step 6: Final answer
    x = 700.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.