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Finding the Fourth Proportional to 500.04, 745.88 and 489.12

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Solution

The fourth proportional to 500.04, 745.88 and 489.12 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.04 : 745.88 = 489.12 : x
  2. Step 2: Convert to fraction form
    500.04/745.88 = 489.12/x
  3. Step 3: Cross multiply
    500.04x = 745.88 × 489.12
  4. Step 4: Simplify right side
    500.04x = 364,824.83
  5. Step 5: Solve for x
    x = 364,824.83/500.04
  6. Step 6: Final answer
    x = 729.59

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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.