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Finding the Fourth Proportional to 551.94, 761.62 and 319.07

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Solution

The fourth proportional to 551.94, 761.62 and 319.07 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.94 : 761.62 = 319.07 : x
  2. Step 2: Convert to fraction form
    551.94/761.62 = 319.07/x
  3. Step 3: Cross multiply
    551.94x = 761.62 × 319.07
  4. Step 4: Simplify right side
    551.94x = 243,010.09
  5. Step 5: Solve for x
    x = 243,010.09/551.94
  6. Step 6: Final answer
    x = 440.28

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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.