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Finding the Fourth Proportional to 583.56, 876.25 and 557.59

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Solution

The fourth proportional to 583.56, 876.25 and 557.59 is: 837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.56 : 876.25 = 557.59 : x
  2. Step 2: Convert to fraction form
    583.56/876.25 = 557.59/x
  3. Step 3: Cross multiply
    583.56x = 876.25 × 557.59
  4. Step 4: Simplify right side
    583.56x = 488,588.39
  5. Step 5: Solve for x
    x = 488,588.39/583.56
  6. Step 6: Final answer
    x = 837.25

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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.