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Finding the Fourth Proportional to 576.20, 858.70 and 563.78

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Solution

The fourth proportional to 576.20, 858.70 and 563.78 is: 840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.20 : 858.70 = 563.78 : x
  2. Step 2: Convert to fraction form
    576.20/858.70 = 563.78/x
  3. Step 3: Cross multiply
    576.20x = 858.70 × 563.78
  4. Step 4: Simplify right side
    576.20x = 484,117.89
  5. Step 5: Solve for x
    x = 484,117.89/576.20
  6. Step 6: Final answer
    x = 840.19

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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.