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Finding the Fourth Proportional to 949.90, 1,424.95 and 402.14

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Solution

The fourth proportional to 949.90, 1,424.95 and 402.14 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.90 : 1,424.95 = 402.14 : x
  2. Step 2: Convert to fraction form
    949.90/1,424.95 = 402.14/x
  3. Step 3: Cross multiply
    949.90x = 1,424.95 × 402.14
  4. Step 4: Simplify right side
    949.90x = 573,020.26
  5. Step 5: Solve for x
    x = 573,020.26/949.90
  6. Step 6: Final answer
    x = 603.25

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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.