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Finding the Fourth Proportional to 1,015.99, 1,401.65 and 684.52

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Solution

The fourth proportional to 1,015.99, 1,401.65 and 684.52 is: 944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.99 : 1,401.65 = 684.52 : x
  2. Step 2: Convert to fraction form
    1,015.99/1,401.65 = 684.52/x
  3. Step 3: Cross multiply
    1,015.99x = 1,401.65 × 684.52
  4. Step 4: Simplify right side
    1,015.99x = 959,454.04
  5. Step 5: Solve for x
    x = 959,454.04/1,015.99
  6. Step 6: Final answer
    x = 944.36

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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.