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Finding the Fourth Proportional to 587.68, 811.28 and 366.95

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Solution

The fourth proportional to 587.68, 811.28 and 366.95 is: 506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.68 : 811.28 = 366.95 : x
  2. Step 2: Convert to fraction form
    587.68/811.28 = 366.95/x
  3. Step 3: Cross multiply
    587.68x = 811.28 × 366.95
  4. Step 4: Simplify right side
    587.68x = 297,702.14
  5. Step 5: Solve for x
    x = 297,702.14/587.68
  6. Step 6: Final answer
    x = 506.57

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