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Finding the Fourth Proportional to 840.49, 1,259.11 and 407.95

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Solution

The fourth proportional to 840.49, 1,259.11 and 407.95 is: 611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.49 : 1,259.11 = 407.95 : x
  2. Step 2: Convert to fraction form
    840.49/1,259.11 = 407.95/x
  3. Step 3: Cross multiply
    840.49x = 1,259.11 × 407.95
  4. Step 4: Simplify right side
    840.49x = 513,653.92
  5. Step 5: Solve for x
    x = 513,653.92/840.49
  6. Step 6: Final answer
    x = 611.14

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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.