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Finding the Fourth Proportional to 774.87, 1,156.98 and 638.18

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Solution

The fourth proportional to 774.87, 1,156.98 and 638.18 is: 952.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.87 : 1,156.98 = 638.18 : x
  2. Step 2: Convert to fraction form
    774.87/1,156.98 = 638.18/x
  3. Step 3: Cross multiply
    774.87x = 1,156.98 × 638.18
  4. Step 4: Simplify right side
    774.87x = 738,362.44
  5. Step 5: Solve for x
    x = 738,362.44/774.87
  6. Step 6: Final answer
    x = 952.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.