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Finding the Fourth Proportional to 762.36, 1,145.46 and 470.76

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Solution

The fourth proportional to 762.36, 1,145.46 and 470.76 is: 707.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.36 : 1,145.46 = 470.76 : x
  2. Step 2: Convert to fraction form
    762.36/1,145.46 = 470.76/x
  3. Step 3: Cross multiply
    762.36x = 1,145.46 × 470.76
  4. Step 4: Simplify right side
    762.36x = 539,236.75
  5. Step 5: Solve for x
    x = 539,236.75/762.36
  6. Step 6: Final answer
    x = 707.33

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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.