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Finding the Fourth Proportional to 573.93, 855.41 and 463.77

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Solution

The fourth proportional to 573.93, 855.41 and 463.77 is: 691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.93 : 855.41 = 463.77 : x
  2. Step 2: Convert to fraction form
    573.93/855.41 = 463.77/x
  3. Step 3: Cross multiply
    573.93x = 855.41 × 463.77
  4. Step 4: Simplify right side
    573.93x = 396,711.18
  5. Step 5: Solve for x
    x = 396,711.18/573.93
  6. Step 6: Final answer
    x = 691.22

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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.