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Finding the Fourth Proportional to 756.13, 1,133.85 and 345.16

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Solution

The fourth proportional to 756.13, 1,133.85 and 345.16 is: 517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.13 : 1,133.85 = 345.16 : x
  2. Step 2: Convert to fraction form
    756.13/1,133.85 = 345.16/x
  3. Step 3: Cross multiply
    756.13x = 1,133.85 × 345.16
  4. Step 4: Simplify right side
    756.13x = 391,359.67
  5. Step 5: Solve for x
    x = 391,359.67/756.13
  6. Step 6: Final answer
    x = 517.58

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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.