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Finding the Fourth Proportional to 1,016, 1,398.30 and 837.53

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Solution

The fourth proportional to 1,016, 1,398.30 and 837.53 is: 1,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016 : 1,398.30 = 837.53 : x
  2. Step 2: Convert to fraction form
    1,016/1,398.30 = 837.53/x
  3. Step 3: Cross multiply
    1,016x = 1,398.30 × 837.53
  4. Step 4: Simplify right side
    1,016x = 1,171,118.20
  5. Step 5: Solve for x
    x = 1,171,118.20/1,016
  6. Step 6: Final answer
    x = 1,152.68

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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.