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Finding the Fourth Proportional to 1,020.75, 1,408.20 and 784.29

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Solution

The fourth proportional to 1,020.75, 1,408.20 and 784.29 is: 1,081.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,408.20 = 784.29 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,408.20 = 784.29/x
  3. Step 3: Cross multiply
    1,020.75x = 1,408.20 × 784.29
  4. Step 4: Simplify right side
    1,020.75x = 1,104,437.18
  5. Step 5: Solve for x
    x = 1,104,437.18/1,020.75
  6. Step 6: Final answer
    x = 1,081.99

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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.