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Finding the Fourth Proportional to 573.66, 789.47 and 549.06

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Solution

The fourth proportional to 573.66, 789.47 and 549.06 is: 755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.66 : 789.47 = 549.06 : x
  2. Step 2: Convert to fraction form
    573.66/789.47 = 549.06/x
  3. Step 3: Cross multiply
    573.66x = 789.47 × 549.06
  4. Step 4: Simplify right side
    573.66x = 433,466.40
  5. Step 5: Solve for x
    x = 433,466.40/573.66
  6. Step 6: Final answer
    x = 755.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.