Home / 1,029.11-1,420.23-609.71

Finding the Fourth Proportional to 1,029.11, 1,420.23 and 609.71

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Solution

The fourth proportional to 1,029.11, 1,420.23 and 609.71 is: 841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.11 : 1,420.23 = 609.71 : x
  2. Step 2: Convert to fraction form
    1,029.11/1,420.23 = 609.71/x
  3. Step 3: Cross multiply
    1,029.11x = 1,420.23 × 609.71
  4. Step 4: Simplify right side
    1,029.11x = 865,928.43
  5. Step 5: Solve for x
    x = 865,928.43/1,029.11
  6. Step 6: Final answer
    x = 841.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.