Home / 1,113.41-1,669.86-420.15

Finding the Fourth Proportional to 1,113.41, 1,669.86 and 420.15

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Solution

The fourth proportional to 1,113.41, 1,669.86 and 420.15 is: 630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.41 : 1,669.86 = 420.15 : x
  2. Step 2: Convert to fraction form
    1,113.41/1,669.86 = 420.15/x
  3. Step 3: Cross multiply
    1,113.41x = 1,669.86 × 420.15
  4. Step 4: Simplify right side
    1,113.41x = 701,585.93
  5. Step 5: Solve for x
    x = 701,585.93/1,113.41
  6. Step 6: Final answer
    x = 630.13

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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.