Home / 1,585.32-2,379.06-816.36

Finding the Fourth Proportional to 1,585.32, 2,379.06 and 816.36

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Solution

The fourth proportional to 1,585.32, 2,379.06 and 816.36 is: 1,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.32 : 2,379.06 = 816.36 : x
  2. Step 2: Convert to fraction form
    1,585.32/2,379.06 = 816.36/x
  3. Step 3: Cross multiply
    1,585.32x = 2,379.06 × 816.36
  4. Step 4: Simplify right side
    1,585.32x = 1,942,169.42
  5. Step 5: Solve for x
    x = 1,942,169.42/1,585.32
  6. Step 6: Final answer
    x = 1,225.10

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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.