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Finding the Fourth Proportional to 583.70, 876.60 and 557.75

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Solution

The fourth proportional to 583.70, 876.60 and 557.75 is: 837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 876.60 = 557.75 : x
  2. Step 2: Convert to fraction form
    583.70/876.60 = 557.75/x
  3. Step 3: Cross multiply
    583.70x = 876.60 × 557.75
  4. Step 4: Simplify right side
    583.70x = 488,923.65
  5. Step 5: Solve for x
    x = 488,923.65/583.70
  6. Step 6: Final answer
    x = 837.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.