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Finding the Fourth Proportional to 548.77, 757.53 and 402.46

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Solution

The fourth proportional to 548.77, 757.53 and 402.46 is: 555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.77 : 757.53 = 402.46 : x
  2. Step 2: Convert to fraction form
    548.77/757.53 = 402.46/x
  3. Step 3: Cross multiply
    548.77x = 757.53 × 402.46
  4. Step 4: Simplify right side
    548.77x = 304,875.52
  5. Step 5: Solve for x
    x = 304,875.52/548.77
  6. Step 6: Final answer
    x = 555.56

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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.