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Finding the Fourth Proportional to 477.77, 717.86 and 304.52

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Solution

The fourth proportional to 477.77, 717.86 and 304.52 is: 457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 717.86 = 304.52 : x
  2. Step 2: Convert to fraction form
    477.77/717.86 = 304.52/x
  3. Step 3: Cross multiply
    477.77x = 717.86 × 304.52
  4. Step 4: Simplify right side
    477.77x = 218,602.73
  5. Step 5: Solve for x
    x = 218,602.73/477.77
  6. Step 6: Final answer
    x = 457.55

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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.