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Finding the Fourth Proportional to 1,016.36, 1,402.77 and 623.46

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Solution

The fourth proportional to 1,016.36, 1,402.77 and 623.46 is: 860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.36 : 1,402.77 = 623.46 : x
  2. Step 2: Convert to fraction form
    1,016.36/1,402.77 = 623.46/x
  3. Step 3: Cross multiply
    1,016.36x = 1,402.77 × 623.46
  4. Step 4: Simplify right side
    1,016.36x = 874,575.08
  5. Step 5: Solve for x
    x = 874,575.08/1,016.36
  6. Step 6: Final answer
    x = 860.49

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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.