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Finding the Fourth Proportional to 500, 745.16 and 474.08

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Solution

The fourth proportional to 500, 745.16 and 474.08 is: 706.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 745.16 = 474.08 : x
  2. Step 2: Convert to fraction form
    500/745.16 = 474.08/x
  3. Step 3: Cross multiply
    500x = 745.16 × 474.08
  4. Step 4: Simplify right side
    500x = 353,265.45
  5. Step 5: Solve for x
    x = 353,265.45/500
  6. Step 6: Final answer
    x = 706.53

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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.