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Finding the Fourth Proportional to 1,433.06, 2,149.95 and 407.06

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Solution

The fourth proportional to 1,433.06, 2,149.95 and 407.06 is: 610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.06 : 2,149.95 = 407.06 : x
  2. Step 2: Convert to fraction form
    1,433.06/2,149.95 = 407.06/x
  3. Step 3: Cross multiply
    1,433.06x = 2,149.95 × 407.06
  4. Step 4: Simplify right side
    1,433.06x = 875,165.55
  5. Step 5: Solve for x
    x = 875,165.55/1,433.06
  6. Step 6: Final answer
    x = 610.70

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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.