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Finding the Fourth Proportional to 756.32, 1,133.76 and 269.10

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Solution

The fourth proportional to 756.32, 1,133.76 and 269.10 is: 403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.32 : 1,133.76 = 269.10 : x
  2. Step 2: Convert to fraction form
    756.32/1,133.76 = 269.10/x
  3. Step 3: Cross multiply
    756.32x = 1,133.76 × 269.10
  4. Step 4: Simplify right side
    756.32x = 305,094.82
  5. Step 5: Solve for x
    x = 305,094.82/756.32
  6. Step 6: Final answer
    x = 403.39

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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.