Home / 1,631.24-2,448.07-766.16

Finding the Fourth Proportional to 1,631.24, 2,448.07 and 766.16

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Solution

The fourth proportional to 1,631.24, 2,448.07 and 766.16 is: 1,149.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.24 : 2,448.07 = 766.16 : x
  2. Step 2: Convert to fraction form
    1,631.24/2,448.07 = 766.16/x
  3. Step 3: Cross multiply
    1,631.24x = 2,448.07 × 766.16
  4. Step 4: Simplify right side
    1,631.24x = 1,875,597.24
  5. Step 5: Solve for x
    x = 1,875,597.24/1,631.24
  6. Step 6: Final answer
    x = 1,149.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.