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Finding the Fourth Proportional to 616.20, 854.25 and 583.32

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Solution

The fourth proportional to 616.20, 854.25 and 583.32 is: 808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 854.25 = 583.32 : x
  2. Step 2: Convert to fraction form
    616.20/854.25 = 583.32/x
  3. Step 3: Cross multiply
    616.20x = 854.25 × 583.32
  4. Step 4: Simplify right side
    616.20x = 498,301.11
  5. Step 5: Solve for x
    x = 498,301.11/616.20
  6. Step 6: Final answer
    x = 808.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.