Home / 1,407.30-2,109.46-584.43

Finding the Fourth Proportional to 1,407.30, 2,109.46 and 584.43

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Solution

The fourth proportional to 1,407.30, 2,109.46 and 584.43 is: 876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.30 : 2,109.46 = 584.43 : x
  2. Step 2: Convert to fraction form
    1,407.30/2,109.46 = 584.43/x
  3. Step 3: Cross multiply
    1,407.30x = 2,109.46 × 584.43
  4. Step 4: Simplify right side
    1,407.30x = 1,232,831.71
  5. Step 5: Solve for x
    x = 1,232,831.71/1,407.30
  6. Step 6: Final answer
    x = 876.03

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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.