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Finding the Fourth Proportional to 1,015.50, 1,400.67 and 717.36

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Solution

The fourth proportional to 1,015.50, 1,400.67 and 717.36 is: 989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.50 : 1,400.67 = 717.36 : x
  2. Step 2: Convert to fraction form
    1,015.50/1,400.67 = 717.36/x
  3. Step 3: Cross multiply
    1,015.50x = 1,400.67 × 717.36
  4. Step 4: Simplify right side
    1,015.50x = 1,004,784.63
  5. Step 5: Solve for x
    x = 1,004,784.63/1,015.50
  6. Step 6: Final answer
    x = 989.45

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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.