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Finding the Fourth Proportional to 491.47, 677.71 and 366.93

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Solution

The fourth proportional to 491.47, 677.71 and 366.93 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.47 : 677.71 = 366.93 : x
  2. Step 2: Convert to fraction form
    491.47/677.71 = 366.93/x
  3. Step 3: Cross multiply
    491.47x = 677.71 × 366.93
  4. Step 4: Simplify right side
    491.47x = 248,672.13
  5. Step 5: Solve for x
    x = 248,672.13/491.47
  6. Step 6: Final answer
    x = 505.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.