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Finding the Fourth Proportional to 897.84, 1,347.43 and 551.42

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Solution

The fourth proportional to 897.84, 1,347.43 and 551.42 is: 827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.84 : 1,347.43 = 551.42 : x
  2. Step 2: Convert to fraction form
    897.84/1,347.43 = 551.42/x
  3. Step 3: Cross multiply
    897.84x = 1,347.43 × 551.42
  4. Step 4: Simplify right side
    897.84x = 742,999.85
  5. Step 5: Solve for x
    x = 742,999.85/897.84
  6. Step 6: Final answer
    x = 827.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.