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Finding the Fourth Proportional to 497.63, 742.69 and 484.67

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Solution

The fourth proportional to 497.63, 742.69 and 484.67 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.63 : 742.69 = 484.67 : x
  2. Step 2: Convert to fraction form
    497.63/742.69 = 484.67/x
  3. Step 3: Cross multiply
    497.63x = 742.69 × 484.67
  4. Step 4: Simplify right side
    497.63x = 359,959.30
  5. Step 5: Solve for x
    x = 359,959.30/497.63
  6. Step 6: Final answer
    x = 723.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.