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Finding the Fourth Proportional to 1,384.20, 1,910.18 and 763.20

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Solution

The fourth proportional to 1,384.20, 1,910.18 and 763.20 is: 1,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.20 : 1,910.18 = 763.20 : x
  2. Step 2: Convert to fraction form
    1,384.20/1,910.18 = 763.20/x
  3. Step 3: Cross multiply
    1,384.20x = 1,910.18 × 763.20
  4. Step 4: Simplify right side
    1,384.20x = 1,457,849.38
  5. Step 5: Solve for x
    x = 1,457,849.38/1,384.20
  6. Step 6: Final answer
    x = 1,053.21

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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.