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Finding the Fourth Proportional to 677.16, 1,016.36 and 503.42

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Solution

The fourth proportional to 677.16, 1,016.36 and 503.42 is: 755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.16 : 1,016.36 = 503.42 : x
  2. Step 2: Convert to fraction form
    677.16/1,016.36 = 503.42/x
  3. Step 3: Cross multiply
    677.16x = 1,016.36 × 503.42
  4. Step 4: Simplify right side
    677.16x = 511,648.35
  5. Step 5: Solve for x
    x = 511,648.35/677.16
  6. Step 6: Final answer
    x = 755.58

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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.