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Finding the Fourth Proportional to 875.90, 1,314.05 and 551.49

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Solution

The fourth proportional to 875.90, 1,314.05 and 551.49 is: 827.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.90 : 1,314.05 = 551.49 : x
  2. Step 2: Convert to fraction form
    875.90/1,314.05 = 551.49/x
  3. Step 3: Cross multiply
    875.90x = 1,314.05 × 551.49
  4. Step 4: Simplify right side
    875.90x = 724,682.68
  5. Step 5: Solve for x
    x = 724,682.68/875.90
  6. Step 6: Final answer
    x = 827.36

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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.