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Finding the Fourth Proportional to 769.81, 1,155.10 and 358.85

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Solution

The fourth proportional to 769.81, 1,155.10 and 358.85 is: 538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.81 : 1,155.10 = 358.85 : x
  2. Step 2: Convert to fraction form
    769.81/1,155.10 = 358.85/x
  3. Step 3: Cross multiply
    769.81x = 1,155.10 × 358.85
  4. Step 4: Simplify right side
    769.81x = 414,507.64
  5. Step 5: Solve for x
    x = 414,507.64/769.81
  6. Step 6: Final answer
    x = 538.45

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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.