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Finding the Fourth Proportional to 477.55, 716.64 and 233.95

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Solution

The fourth proportional to 477.55, 716.64 and 233.95 is: 351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 716.64 = 233.95 : x
  2. Step 2: Convert to fraction form
    477.55/716.64 = 233.95/x
  3. Step 3: Cross multiply
    477.55x = 716.64 × 233.95
  4. Step 4: Simplify right side
    477.55x = 167,657.93
  5. Step 5: Solve for x
    x = 167,657.93/477.55
  6. Step 6: Final answer
    x = 351.08

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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.