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Finding the Fourth Proportional to 500.73, 745.55 and 498.30

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Solution

The fourth proportional to 500.73, 745.55 and 498.30 is: 741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.73 : 745.55 = 498.30 : x
  2. Step 2: Convert to fraction form
    500.73/745.55 = 498.30/x
  3. Step 3: Cross multiply
    500.73x = 745.55 × 498.30
  4. Step 4: Simplify right side
    500.73x = 371,505.07
  5. Step 5: Solve for x
    x = 371,505.07/500.73
  6. Step 6: Final answer
    x = 741.93

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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.