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Finding the Fourth Proportional to 550.02, 759.06 and 462.54

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Solution

The fourth proportional to 550.02, 759.06 and 462.54 is: 638.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.02 : 759.06 = 462.54 : x
  2. Step 2: Convert to fraction form
    550.02/759.06 = 462.54/x
  3. Step 3: Cross multiply
    550.02x = 759.06 × 462.54
  4. Step 4: Simplify right side
    550.02x = 351,095.61
  5. Step 5: Solve for x
    x = 351,095.61/550.02
  6. Step 6: Final answer
    x = 638.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.