Home / 1,590.32-2,386.20-809.84

Finding the Fourth Proportional to 1,590.32, 2,386.20 and 809.84

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Solution

The fourth proportional to 1,590.32, 2,386.20 and 809.84 is: 1,215.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.32 : 2,386.20 = 809.84 : x
  2. Step 2: Convert to fraction form
    1,590.32/2,386.20 = 809.84/x
  3. Step 3: Cross multiply
    1,590.32x = 2,386.20 × 809.84
  4. Step 4: Simplify right side
    1,590.32x = 1,932,440.21
  5. Step 5: Solve for x
    x = 1,932,440.21/1,590.32
  6. Step 6: Final answer
    x = 1,215.13

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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.