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Finding the Fourth Proportional to 840.62, 1,261.56 and 606.24

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Solution

The fourth proportional to 840.62, 1,261.56 and 606.24 is: 909.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.62 : 1,261.56 = 606.24 : x
  2. Step 2: Convert to fraction form
    840.62/1,261.56 = 606.24/x
  3. Step 3: Cross multiply
    840.62x = 1,261.56 × 606.24
  4. Step 4: Simplify right side
    840.62x = 764,808.13
  5. Step 5: Solve for x
    x = 764,808.13/840.62
  6. Step 6: Final answer
    x = 909.82

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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.