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Finding the Fourth Proportional to 774.46, 1,069.55 and 663.29

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Solution

The fourth proportional to 774.46, 1,069.55 and 663.29 is: 916.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.46 : 1,069.55 = 663.29 : x
  2. Step 2: Convert to fraction form
    774.46/1,069.55 = 663.29/x
  3. Step 3: Cross multiply
    774.46x = 1,069.55 × 663.29
  4. Step 4: Simplify right side
    774.46x = 709,423.38
  5. Step 5: Solve for x
    x = 709,423.38/774.46
  6. Step 6: Final answer
    x = 916.02

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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.