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Finding the Fourth Proportional to 1,015.16, 1,400.77 and 566.97

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Solution

The fourth proportional to 1,015.16, 1,400.77 and 566.97 is: 782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.16 : 1,400.77 = 566.97 : x
  2. Step 2: Convert to fraction form
    1,015.16/1,400.77 = 566.97/x
  3. Step 3: Cross multiply
    1,015.16x = 1,400.77 × 566.97
  4. Step 4: Simplify right side
    1,015.16x = 794,193.15
  5. Step 5: Solve for x
    x = 794,193.15/1,015.16
  6. Step 6: Final answer
    x = 782.34

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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.