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Finding the Fourth Proportional to 500.02, 745.76 and 482.61

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Solution

The fourth proportional to 500.02, 745.76 and 482.61 is: 719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.02 : 745.76 = 482.61 : x
  2. Step 2: Convert to fraction form
    500.02/745.76 = 482.61/x
  3. Step 3: Cross multiply
    500.02x = 745.76 × 482.61
  4. Step 4: Simplify right side
    500.02x = 359,907.50
  5. Step 5: Solve for x
    x = 359,907.50/500.02
  6. Step 6: Final answer
    x = 719.79

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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.