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Finding the Fourth Proportional to 576.41, 857.21 and 558.18

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Solution

The fourth proportional to 576.41, 857.21 and 558.18 is: 830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 857.21 = 558.18 : x
  2. Step 2: Convert to fraction form
    576.41/857.21 = 558.18/x
  3. Step 3: Cross multiply
    576.41x = 857.21 × 558.18
  4. Step 4: Simplify right side
    576.41x = 478,474.69
  5. Step 5: Solve for x
    x = 478,474.69/576.41
  6. Step 6: Final answer
    x = 830.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.