Home / 1,029.34-1,420.41-609.61

Finding the Fourth Proportional to 1,029.34, 1,420.41 and 609.61

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Solution

The fourth proportional to 1,029.34, 1,420.41 and 609.61 is: 841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.34 : 1,420.41 = 609.61 : x
  2. Step 2: Convert to fraction form
    1,029.34/1,420.41 = 609.61/x
  3. Step 3: Cross multiply
    1,029.34x = 1,420.41 × 609.61
  4. Step 4: Simplify right side
    1,029.34x = 865,896.14
  5. Step 5: Solve for x
    x = 865,896.14/1,029.34
  6. Step 6: Final answer
    x = 841.21

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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.