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Finding the Fourth Proportional to 846.45, 1,167.76 and 551.61

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Solution

The fourth proportional to 846.45, 1,167.76 and 551.61 is: 761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.45 : 1,167.76 = 551.61 : x
  2. Step 2: Convert to fraction form
    846.45/1,167.76 = 551.61/x
  3. Step 3: Cross multiply
    846.45x = 1,167.76 × 551.61
  4. Step 4: Simplify right side
    846.45x = 644,148.09
  5. Step 5: Solve for x
    x = 644,148.09/846.45
  6. Step 6: Final answer
    x = 761.00

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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.