Home / 1,409.15-2,113.06-421.60

Finding the Fourth Proportional to 1,409.15, 2,113.06 and 421.60

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Solution

The fourth proportional to 1,409.15, 2,113.06 and 421.60 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.15 : 2,113.06 = 421.60 : x
  2. Step 2: Convert to fraction form
    1,409.15/2,113.06 = 421.60/x
  3. Step 3: Cross multiply
    1,409.15x = 2,113.06 × 421.60
  4. Step 4: Simplify right side
    1,409.15x = 890,866.10
  5. Step 5: Solve for x
    x = 890,866.10/1,409.15
  6. Step 6: Final answer
    x = 632.20

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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.