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Finding the Fourth Proportional to 573.06, 854.66 and 517.70

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Solution

The fourth proportional to 573.06, 854.66 and 517.70 is: 772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 854.66 = 517.70 : x
  2. Step 2: Convert to fraction form
    573.06/854.66 = 517.70/x
  3. Step 3: Cross multiply
    573.06x = 854.66 × 517.70
  4. Step 4: Simplify right side
    573.06x = 442,460.91
  5. Step 5: Solve for x
    x = 442,460.91/573.06
  6. Step 6: Final answer
    x = 772.10

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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.