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Finding the Fourth Proportional to 552.02, 761.77 and 319.18

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Solution

The fourth proportional to 552.02, 761.77 and 319.18 is: 440.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.02 : 761.77 = 319.18 : x
  2. Step 2: Convert to fraction form
    552.02/761.77 = 319.18/x
  3. Step 3: Cross multiply
    552.02x = 761.77 × 319.18
  4. Step 4: Simplify right side
    552.02x = 243,141.75
  5. Step 5: Solve for x
    x = 243,141.75/552.02
  6. Step 6: Final answer
    x = 440.46

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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.