Home / 1,029.52-1,420.40-610.02

Finding the Fourth Proportional to 1,029.52, 1,420.40 and 610.02

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Solution

The fourth proportional to 1,029.52, 1,420.40 and 610.02 is: 841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.52 : 1,420.40 = 610.02 : x
  2. Step 2: Convert to fraction form
    1,029.52/1,420.40 = 610.02/x
  3. Step 3: Cross multiply
    1,029.52x = 1,420.40 × 610.02
  4. Step 4: Simplify right side
    1,029.52x = 866,472.41
  5. Step 5: Solve for x
    x = 866,472.41/1,029.52
  6. Step 6: Final answer
    x = 841.63

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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.