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Finding the Fourth Proportional to 557.40, 772.46 and 549.57

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Solution

The fourth proportional to 557.40, 772.46 and 549.57 is: 761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.40 : 772.46 = 549.57 : x
  2. Step 2: Convert to fraction form
    557.40/772.46 = 549.57/x
  3. Step 3: Cross multiply
    557.40x = 772.46 × 549.57
  4. Step 4: Simplify right side
    557.40x = 424,522.22
  5. Step 5: Solve for x
    x = 424,522.22/557.40
  6. Step 6: Final answer
    x = 761.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.