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Finding the Fourth Proportional to 883.69, 1,219.53 and 551.86

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Solution

The fourth proportional to 883.69, 1,219.53 and 551.86 is: 761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.69 : 1,219.53 = 551.86 : x
  2. Step 2: Convert to fraction form
    883.69/1,219.53 = 551.86/x
  3. Step 3: Cross multiply
    883.69x = 1,219.53 × 551.86
  4. Step 4: Simplify right side
    883.69x = 673,009.83
  5. Step 5: Solve for x
    x = 673,009.83/883.69
  6. Step 6: Final answer
    x = 761.59

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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.