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Finding the Fourth Proportional to 1,646.89, 2,470.06 and 551.11

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Solution

The fourth proportional to 1,646.89, 2,470.06 and 551.11 is: 826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.89 : 2,470.06 = 551.11 : x
  2. Step 2: Convert to fraction form
    1,646.89/2,470.06 = 551.11/x
  3. Step 3: Cross multiply
    1,646.89x = 2,470.06 × 551.11
  4. Step 4: Simplify right side
    1,646.89x = 1,361,274.77
  5. Step 5: Solve for x
    x = 1,361,274.77/1,646.89
  6. Step 6: Final answer
    x = 826.57

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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.