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Finding the Fourth Proportional to 762.33, 1,145.93 and 475.59

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Solution

The fourth proportional to 762.33, 1,145.93 and 475.59 is: 714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.33 : 1,145.93 = 475.59 : x
  2. Step 2: Convert to fraction form
    762.33/1,145.93 = 475.59/x
  3. Step 3: Cross multiply
    762.33x = 1,145.93 × 475.59
  4. Step 4: Simplify right side
    762.33x = 544,990.47
  5. Step 5: Solve for x
    x = 544,990.47/762.33
  6. Step 6: Final answer
    x = 714.90

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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.