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Finding the Fourth Proportional to 493.27, 740.74 and 472.63

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Solution

The fourth proportional to 493.27, 740.74 and 472.63 is: 709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 740.74 = 472.63 : x
  2. Step 2: Convert to fraction form
    493.27/740.74 = 472.63/x
  3. Step 3: Cross multiply
    493.27x = 740.74 × 472.63
  4. Step 4: Simplify right side
    493.27x = 350,091.06
  5. Step 5: Solve for x
    x = 350,091.06/493.27
  6. Step 6: Final answer
    x = 709.74

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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.