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Finding the Fourth Proportional to 477.87, 659.51 and 291.41

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Solution

The fourth proportional to 477.87, 659.51 and 291.41 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.87 : 659.51 = 291.41 : x
  2. Step 2: Convert to fraction form
    477.87/659.51 = 291.41/x
  3. Step 3: Cross multiply
    477.87x = 659.51 × 291.41
  4. Step 4: Simplify right side
    477.87x = 192,187.81
  5. Step 5: Solve for x
    x = 192,187.81/477.87
  6. Step 6: Final answer
    x = 402.18

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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.