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Finding the Fourth Proportional to 583.28, 869.70 and 576.08

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Solution

The fourth proportional to 583.28, 869.70 and 576.08 is: 858.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.28 : 869.70 = 576.08 : x
  2. Step 2: Convert to fraction form
    583.28/869.70 = 576.08/x
  3. Step 3: Cross multiply
    583.28x = 869.70 × 576.08
  4. Step 4: Simplify right side
    583.28x = 501,018.95
  5. Step 5: Solve for x
    x = 501,018.95/583.28
  6. Step 6: Final answer
    x = 858.96

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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.