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Finding the Fourth Proportional to 762.33, 1,145.04 and 454.79

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Solution

The fourth proportional to 762.33, 1,145.04 and 454.79 is: 683.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,145.04 = 454.79 : x
  2. Step 2: Convert to fraction form
    762.33/1,145.04 = 454.79/x
  3. Step 3: Cross multiply
    762.33x = 1,145.04 × 454.79
  4. Step 4: Simplify right side
    762.33x = 520,752.74
  5. Step 5: Solve for x
    x = 520,752.74/762.33
  6. Step 6: Final answer
    x = 683.11

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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.