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Finding the Fourth Proportional to 493.65, 739.47 and 471.12

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Solution

The fourth proportional to 493.65, 739.47 and 471.12 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.65 : 739.47 = 471.12 : x
  2. Step 2: Convert to fraction form
    493.65/739.47 = 471.12/x
  3. Step 3: Cross multiply
    493.65x = 739.47 × 471.12
  4. Step 4: Simplify right side
    493.65x = 348,379.11
  5. Step 5: Solve for x
    x = 348,379.11/493.65
  6. Step 6: Final answer
    x = 705.72

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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.