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Finding the Fourth Proportional to 753.22, 1,128.55 and 493.08

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Solution

The fourth proportional to 753.22, 1,128.55 and 493.08 is: 738.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.22 : 1,128.55 = 493.08 : x
  2. Step 2: Convert to fraction form
    753.22/1,128.55 = 493.08/x
  3. Step 3: Cross multiply
    753.22x = 1,128.55 × 493.08
  4. Step 4: Simplify right side
    753.22x = 556,465.43
  5. Step 5: Solve for x
    x = 556,465.43/753.22
  6. Step 6: Final answer
    x = 738.78

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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.