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Finding the Fourth Proportional to 556.16, 771.44 and 542.48

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Solution

The fourth proportional to 556.16, 771.44 and 542.48 is: 752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.16 : 771.44 = 542.48 : x
  2. Step 2: Convert to fraction form
    556.16/771.44 = 542.48/x
  3. Step 3: Cross multiply
    556.16x = 771.44 × 542.48
  4. Step 4: Simplify right side
    556.16x = 418,490.77
  5. Step 5: Solve for x
    x = 418,490.77/556.16
  6. Step 6: Final answer
    x = 752.46

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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.