Home / 1,409.31-2,113.90-435.29

Finding the Fourth Proportional to 1,409.31, 2,113.90 and 435.29

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Solution

The fourth proportional to 1,409.31, 2,113.90 and 435.29 is: 652.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.31 : 2,113.90 = 435.29 : x
  2. Step 2: Convert to fraction form
    1,409.31/2,113.90 = 435.29/x
  3. Step 3: Cross multiply
    1,409.31x = 2,113.90 × 435.29
  4. Step 4: Simplify right side
    1,409.31x = 920,147.87
  5. Step 5: Solve for x
    x = 920,147.87/1,409.31
  6. Step 6: Final answer
    x = 652.91

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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.