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Finding the Fourth Proportional to 774.33, 1,068.99 and 596.90

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Solution

The fourth proportional to 774.33, 1,068.99 and 596.90 is: 824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,068.99 = 596.90 : x
  2. Step 2: Convert to fraction form
    774.33/1,068.99 = 596.90/x
  3. Step 3: Cross multiply
    774.33x = 1,068.99 × 596.90
  4. Step 4: Simplify right side
    774.33x = 638,082.80
  5. Step 5: Solve for x
    x = 638,082.80/774.33
  6. Step 6: Final answer
    x = 824.05

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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.