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Finding the Fourth Proportional to 500.15, 746.55 and 463.50

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Solution

The fourth proportional to 500.15, 746.55 and 463.50 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.15 : 746.55 = 463.50 : x
  2. Step 2: Convert to fraction form
    500.15/746.55 = 463.50/x
  3. Step 3: Cross multiply
    500.15x = 746.55 × 463.50
  4. Step 4: Simplify right side
    500.15x = 346,025.93
  5. Step 5: Solve for x
    x = 346,025.93/500.15
  6. Step 6: Final answer
    x = 691.84

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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.