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Finding the Fourth Proportional to 505.24, 752.64 and 489.94

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Solution

The fourth proportional to 505.24, 752.64 and 489.94 is: 729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.24 : 752.64 = 489.94 : x
  2. Step 2: Convert to fraction form
    505.24/752.64 = 489.94/x
  3. Step 3: Cross multiply
    505.24x = 752.64 × 489.94
  4. Step 4: Simplify right side
    505.24x = 368,749.60
  5. Step 5: Solve for x
    x = 368,749.60/505.24
  6. Step 6: Final answer
    x = 729.85

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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.