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Finding the Fourth Proportional to 649.00, 972.96 and 283.51

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Solution

The fourth proportional to 649.00, 972.96 and 283.51 is: 425.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.00 : 972.96 = 283.51 : x
  2. Step 2: Convert to fraction form
    649.00/972.96 = 283.51/x
  3. Step 3: Cross multiply
    649.00x = 972.96 × 283.51
  4. Step 4: Simplify right side
    649.00x = 275,844.04
  5. Step 5: Solve for x
    x = 275,844.04/649.00
  6. Step 6: Final answer
    x = 425.03

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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.