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Finding the Fourth Proportional to 521.74, 719.98 and 288.87

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Solution

The fourth proportional to 521.74, 719.98 and 288.87 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 719.98 = 288.87 : x
  2. Step 2: Convert to fraction form
    521.74/719.98 = 288.87/x
  3. Step 3: Cross multiply
    521.74x = 719.98 × 288.87
  4. Step 4: Simplify right side
    521.74x = 207,980.62
  5. Step 5: Solve for x
    x = 207,980.62/521.74
  6. Step 6: Final answer
    x = 398.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.