Home / 1,409.19-2,113.89-435.29

Finding the Fourth Proportional to 1,409.19, 2,113.89 and 435.29

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Solution

The fourth proportional to 1,409.19, 2,113.89 and 435.29 is: 652.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.19 : 2,113.89 = 435.29 : x
  2. Step 2: Convert to fraction form
    1,409.19/2,113.89 = 435.29/x
  3. Step 3: Cross multiply
    1,409.19x = 2,113.89 × 435.29
  4. Step 4: Simplify right side
    1,409.19x = 920,144.61
  5. Step 5: Solve for x
    x = 920,144.61/1,409.19
  6. Step 6: Final answer
    x = 652.96

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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.