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Finding the Fourth Proportional to 508.95, 767.52 and 505.71

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Solution

The fourth proportional to 508.95, 767.52 and 505.71 is: 762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 767.52 = 505.71 : x
  2. Step 2: Convert to fraction form
    508.95/767.52 = 505.71/x
  3. Step 3: Cross multiply
    508.95x = 767.52 × 505.71
  4. Step 4: Simplify right side
    508.95x = 388,142.54
  5. Step 5: Solve for x
    x = 388,142.54/508.95
  6. Step 6: Final answer
    x = 762.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.