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Finding the Fourth Proportional to 602.74, 902.28 and 582.69

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Solution

The fourth proportional to 602.74, 902.28 and 582.69 is: 872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 902.28 = 582.69 : x
  2. Step 2: Convert to fraction form
    602.74/902.28 = 582.69/x
  3. Step 3: Cross multiply
    602.74x = 902.28 × 582.69
  4. Step 4: Simplify right side
    602.74x = 525,749.53
  5. Step 5: Solve for x
    x = 525,749.53/602.74
  6. Step 6: Final answer
    x = 872.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.