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Finding the Fourth Proportional to 840.93, 1,260.59 and 407.49

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Solution

The fourth proportional to 840.93, 1,260.59 and 407.49 is: 610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.93 : 1,260.59 = 407.49 : x
  2. Step 2: Convert to fraction form
    840.93/1,260.59 = 407.49/x
  3. Step 3: Cross multiply
    840.93x = 1,260.59 × 407.49
  4. Step 4: Simplify right side
    840.93x = 513,677.82
  5. Step 5: Solve for x
    x = 513,677.82/840.93
  6. Step 6: Final answer
    x = 610.84

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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.