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Finding the Fourth Proportional to 500.49, 745.86 and 464.45

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Solution

The fourth proportional to 500.49, 745.86 and 464.45 is: 692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.49 : 745.86 = 464.45 : x
  2. Step 2: Convert to fraction form
    500.49/745.86 = 464.45/x
  3. Step 3: Cross multiply
    500.49x = 745.86 × 464.45
  4. Step 4: Simplify right side
    500.49x = 346,410.95
  5. Step 5: Solve for x
    x = 346,410.95/500.49
  6. Step 6: Final answer
    x = 692.14

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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.