Home / 1,029.50-1,420.77-609.79

Finding the Fourth Proportional to 1,029.50, 1,420.77 and 609.79

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Solution

The fourth proportional to 1,029.50, 1,420.77 and 609.79 is: 841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.50 : 1,420.77 = 609.79 : x
  2. Step 2: Convert to fraction form
    1,029.50/1,420.77 = 609.79/x
  3. Step 3: Cross multiply
    1,029.50x = 1,420.77 × 609.79
  4. Step 4: Simplify right side
    1,029.50x = 866,371.34
  5. Step 5: Solve for x
    x = 866,371.34/1,029.50
  6. Step 6: Final answer
    x = 841.55

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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.