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Finding the Fourth Proportional to 583.88, 871.57 and 545

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Solution

The fourth proportional to 583.88, 871.57 and 545 is: 813.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.88 : 871.57 = 545 : x
  2. Step 2: Convert to fraction form
    583.88/871.57 = 545/x
  3. Step 3: Cross multiply
    583.88x = 871.57 × 545
  4. Step 4: Simplify right side
    583.88x = 475,005.65
  5. Step 5: Solve for x
    x = 475,005.65/583.88
  6. Step 6: Final answer
    x = 813.53

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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.