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Finding the Fourth Proportional to 738.17, 1,019.33 and 551.34

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Solution

The fourth proportional to 738.17, 1,019.33 and 551.34 is: 761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.17 : 1,019.33 = 551.34 : x
  2. Step 2: Convert to fraction form
    738.17/1,019.33 = 551.34/x
  3. Step 3: Cross multiply
    738.17x = 1,019.33 × 551.34
  4. Step 4: Simplify right side
    738.17x = 561,998.78
  5. Step 5: Solve for x
    x = 561,998.78/738.17
  6. Step 6: Final answer
    x = 761.34

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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.