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Finding the Fourth Proportional to 940.83, 1,410.41 and 478.35

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Solution

The fourth proportional to 940.83, 1,410.41 and 478.35 is: 717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.83 : 1,410.41 = 478.35 : x
  2. Step 2: Convert to fraction form
    940.83/1,410.41 = 478.35/x
  3. Step 3: Cross multiply
    940.83x = 1,410.41 × 478.35
  4. Step 4: Simplify right side
    940.83x = 674,667.23
  5. Step 5: Solve for x
    x = 674,667.23/940.83
  6. Step 6: Final answer
    x = 717.10

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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.