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Finding the Fourth Proportional to 500.16, 746.54 and 469.38

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Solution

The fourth proportional to 500.16, 746.54 and 469.38 is: 700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.16 : 746.54 = 469.38 : x
  2. Step 2: Convert to fraction form
    500.16/746.54 = 469.38/x
  3. Step 3: Cross multiply
    500.16x = 746.54 × 469.38
  4. Step 4: Simplify right side
    500.16x = 350,410.95
  5. Step 5: Solve for x
    x = 350,410.95/500.16
  6. Step 6: Final answer
    x = 700.60

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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.