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Finding the Fourth Proportional to 500.15, 745.82 and 465.53

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Solution

The fourth proportional to 500.15, 745.82 and 465.53 is: 694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.15 : 745.82 = 465.53 : x
  2. Step 2: Convert to fraction form
    500.15/745.82 = 465.53/x
  3. Step 3: Cross multiply
    500.15x = 745.82 × 465.53
  4. Step 4: Simplify right side
    500.15x = 347,195.53
  5. Step 5: Solve for x
    x = 347,195.53/500.15
  6. Step 6: Final answer
    x = 694.19

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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.