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Finding the Fourth Proportional to 649.34, 973.20 and 283.70

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Solution

The fourth proportional to 649.34, 973.20 and 283.70 is: 425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 973.20 = 283.70 : x
  2. Step 2: Convert to fraction form
    649.34/973.20 = 283.70/x
  3. Step 3: Cross multiply
    649.34x = 973.20 × 283.70
  4. Step 4: Simplify right side
    649.34x = 276,096.84
  5. Step 5: Solve for x
    x = 276,096.84/649.34
  6. Step 6: Final answer
    x = 425.20

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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.