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Finding the Fourth Proportional to 474.26, 710.62 and 288.96

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Solution

The fourth proportional to 474.26, 710.62 and 288.96 is: 432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.26 : 710.62 = 288.96 : x
  2. Step 2: Convert to fraction form
    474.26/710.62 = 288.96/x
  3. Step 3: Cross multiply
    474.26x = 710.62 × 288.96
  4. Step 4: Simplify right side
    474.26x = 205,340.76
  5. Step 5: Solve for x
    x = 205,340.76/474.26
  6. Step 6: Final answer
    x = 432.97

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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.