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Finding the Fourth Proportional to 434.00, 649.10 and 402.84

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Solution

The fourth proportional to 434.00, 649.10 and 402.84 is: 602.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.00 : 649.10 = 402.84 : x
  2. Step 2: Convert to fraction form
    434.00/649.10 = 402.84/x
  3. Step 3: Cross multiply
    434.00x = 649.10 × 402.84
  4. Step 4: Simplify right side
    434.00x = 261,484.45
  5. Step 5: Solve for x
    x = 261,484.45/434.00
  6. Step 6: Final answer
    x = 602.50

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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.