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Finding the Fourth Proportional to 1,214.41, 1,821.41 and 337.00

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Solution

The fourth proportional to 1,214.41, 1,821.41 and 337.00 is: 505.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.41 : 1,821.41 = 337.00 : x
  2. Step 2: Convert to fraction form
    1,214.41/1,821.41 = 337.00/x
  3. Step 3: Cross multiply
    1,214.41x = 1,821.41 × 337.00
  4. Step 4: Simplify right side
    1,214.41x = 613,808.93
  5. Step 5: Solve for x
    x = 613,808.93/1,214.41
  6. Step 6: Final answer
    x = 505.44

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.