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Finding the Fourth Proportional to 411.87, 569.48 and 359.99

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Solution

The fourth proportional to 411.87, 569.48 and 359.99 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.87 : 569.48 = 359.99 : x
  2. Step 2: Convert to fraction form
    411.87/569.48 = 359.99/x
  3. Step 3: Cross multiply
    411.87x = 569.48 × 359.99
  4. Step 4: Simplify right side
    411.87x = 205,002.46
  5. Step 5: Solve for x
    x = 205,002.46/411.87
  6. Step 6: Final answer
    x = 497.74

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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.