Home / 1,116.02-1,540.64-784.73

Finding the Fourth Proportional to 1,116.02, 1,540.64 and 784.73

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Solution

The fourth proportional to 1,116.02, 1,540.64 and 784.73 is: 1,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.02 : 1,540.64 = 784.73 : x
  2. Step 2: Convert to fraction form
    1,116.02/1,540.64 = 784.73/x
  3. Step 3: Cross multiply
    1,116.02x = 1,540.64 × 784.73
  4. Step 4: Simplify right side
    1,116.02x = 1,208,986.43
  5. Step 5: Solve for x
    x = 1,208,986.43/1,116.02
  6. Step 6: Final answer
    x = 1,083.30

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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.