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Finding the Fourth Proportional to 1,010, 1,393.40 and 636.84

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Solution

The fourth proportional to 1,010, 1,393.40 and 636.84 is: 878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010 : 1,393.40 = 636.84 : x
  2. Step 2: Convert to fraction form
    1,010/1,393.40 = 636.84/x
  3. Step 3: Cross multiply
    1,010x = 1,393.40 × 636.84
  4. Step 4: Simplify right side
    1,010x = 887,372.86
  5. Step 5: Solve for x
    x = 887,372.86/1,010
  6. Step 6: Final answer
    x = 878.59

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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.