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Finding the Fourth Proportional to 493.54, 739.26 and 470.98

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Solution

The fourth proportional to 493.54, 739.26 and 470.98 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.54 : 739.26 = 470.98 : x
  2. Step 2: Convert to fraction form
    493.54/739.26 = 470.98/x
  3. Step 3: Cross multiply
    493.54x = 739.26 × 470.98
  4. Step 4: Simplify right side
    493.54x = 348,176.67
  5. Step 5: Solve for x
    x = 348,176.67/493.54
  6. Step 6: Final answer
    x = 705.47

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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.