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Finding the Fourth Proportional to 769.76, 1,154.72 and 384.96

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Solution

The fourth proportional to 769.76, 1,154.72 and 384.96 is: 577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.76 : 1,154.72 = 384.96 : x
  2. Step 2: Convert to fraction form
    769.76/1,154.72 = 384.96/x
  3. Step 3: Cross multiply
    769.76x = 1,154.72 × 384.96
  4. Step 4: Simplify right side
    769.76x = 444,521.01
  5. Step 5: Solve for x
    x = 444,521.01/769.76
  6. Step 6: Final answer
    x = 577.48

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.