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Finding the Fourth Proportional to 581.71, 803.38 and 361.18

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Solution

The fourth proportional to 581.71, 803.38 and 361.18 is: 498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.71 : 803.38 = 361.18 : x
  2. Step 2: Convert to fraction form
    581.71/803.38 = 361.18/x
  3. Step 3: Cross multiply
    581.71x = 803.38 × 361.18
  4. Step 4: Simplify right side
    581.71x = 290,164.79
  5. Step 5: Solve for x
    x = 290,164.79/581.71
  6. Step 6: Final answer
    x = 498.82

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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.