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Finding the Fourth Proportional to 477.83, 716.38 and 294.86

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Solution

The fourth proportional to 477.83, 716.38 and 294.86 is: 442.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.83 : 716.38 = 294.86 : x
  2. Step 2: Convert to fraction form
    477.83/716.38 = 294.86/x
  3. Step 3: Cross multiply
    477.83x = 716.38 × 294.86
  4. Step 4: Simplify right side
    477.83x = 211,232.86
  5. Step 5: Solve for x
    x = 211,232.86/477.83
  6. Step 6: Final answer
    x = 442.06

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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.