Home / 1,029.83-1,420.90-610.19

Finding the Fourth Proportional to 1,029.83, 1,420.90 and 610.19

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Solution

The fourth proportional to 1,029.83, 1,420.90 and 610.19 is: 841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.83 : 1,420.90 = 610.19 : x
  2. Step 2: Convert to fraction form
    1,029.83/1,420.90 = 610.19/x
  3. Step 3: Cross multiply
    1,029.83x = 1,420.90 × 610.19
  4. Step 4: Simplify right side
    1,029.83x = 867,018.97
  5. Step 5: Solve for x
    x = 867,018.97/1,029.83
  6. Step 6: Final answer
    x = 841.90

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Half scale
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Double scale
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1.5x scale

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.