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Finding the Fourth Proportional to 1,016.54, 1,403.48 and 830.47

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Solution

The fourth proportional to 1,016.54, 1,403.48 and 830.47 is: 1,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.54 : 1,403.48 = 830.47 : x
  2. Step 2: Convert to fraction form
    1,016.54/1,403.48 = 830.47/x
  3. Step 3: Cross multiply
    1,016.54x = 1,403.48 × 830.47
  4. Step 4: Simplify right side
    1,016.54x = 1,165,548.04
  5. Step 5: Solve for x
    x = 1,165,548.04/1,016.54
  6. Step 6: Final answer
    x = 1,146.58

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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.