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Finding the Fourth Proportional to 500.68, 746.65 and 482.46

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Solution

The fourth proportional to 500.68, 746.65 and 482.46 is: 719.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.68 : 746.65 = 482.46 : x
  2. Step 2: Convert to fraction form
    500.68/746.65 = 482.46/x
  3. Step 3: Cross multiply
    500.68x = 746.65 × 482.46
  4. Step 4: Simplify right side
    500.68x = 360,228.76
  5. Step 5: Solve for x
    x = 360,228.76/500.68
  6. Step 6: Final answer
    x = 719.48

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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.