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Finding the Fourth Proportional to 500.95, 745.31 and 491.23

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Solution

The fourth proportional to 500.95, 745.31 and 491.23 is: 730.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.95 : 745.31 = 491.23 : x
  2. Step 2: Convert to fraction form
    500.95/745.31 = 491.23/x
  3. Step 3: Cross multiply
    500.95x = 745.31 × 491.23
  4. Step 4: Simplify right side
    500.95x = 366,118.63
  5. Step 5: Solve for x
    x = 366,118.63/500.95
  6. Step 6: Final answer
    x = 730.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.