Home / 1,407.41-2,109.65-584.55

Finding the Fourth Proportional to 1,407.41, 2,109.65 and 584.55

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Solution

The fourth proportional to 1,407.41, 2,109.65 and 584.55 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.41 : 2,109.65 = 584.55 : x
  2. Step 2: Convert to fraction form
    1,407.41/2,109.65 = 584.55/x
  3. Step 3: Cross multiply
    1,407.41x = 2,109.65 × 584.55
  4. Step 4: Simplify right side
    1,407.41x = 1,233,192.98
  5. Step 5: Solve for x
    x = 1,233,192.98/1,407.41
  6. Step 6: Final answer
    x = 876.22

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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.