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Finding the Fourth Proportional to 500.94, 745.18 and 495.68

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Solution

The fourth proportional to 500.94, 745.18 and 495.68 is: 737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 745.18 = 495.68 : x
  2. Step 2: Convert to fraction form
    500.94/745.18 = 495.68/x
  3. Step 3: Cross multiply
    500.94x = 745.18 × 495.68
  4. Step 4: Simplify right side
    500.94x = 369,368.34
  5. Step 5: Solve for x
    x = 369,368.34/500.94
  6. Step 6: Final answer
    x = 737.35

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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.