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Finding the Fourth Proportional to 1,016.91, 1,403.33 and 551.16

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Solution

The fourth proportional to 1,016.91, 1,403.33 and 551.16 is: 760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.91 : 1,403.33 = 551.16 : x
  2. Step 2: Convert to fraction form
    1,016.91/1,403.33 = 551.16/x
  3. Step 3: Cross multiply
    1,016.91x = 1,403.33 × 551.16
  4. Step 4: Simplify right side
    1,016.91x = 773,460.74
  5. Step 5: Solve for x
    x = 773,460.74/1,016.91
  6. Step 6: Final answer
    x = 760.60

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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.