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Finding the Fourth Proportional to 491.86, 734.27 and 474.76

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Solution

The fourth proportional to 491.86, 734.27 and 474.76 is: 708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.86 : 734.27 = 474.76 : x
  2. Step 2: Convert to fraction form
    491.86/734.27 = 474.76/x
  3. Step 3: Cross multiply
    491.86x = 734.27 × 474.76
  4. Step 4: Simplify right side
    491.86x = 348,599.65
  5. Step 5: Solve for x
    x = 348,599.65/491.86
  6. Step 6: Final answer
    x = 708.74

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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.