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Finding the Fourth Proportional to 840.83, 1,160.06 and 521.55

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Solution

The fourth proportional to 840.83, 1,160.06 and 521.55 is: 719.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.83 : 1,160.06 = 521.55 : x
  2. Step 2: Convert to fraction form
    840.83/1,160.06 = 521.55/x
  3. Step 3: Cross multiply
    840.83x = 1,160.06 × 521.55
  4. Step 4: Simplify right side
    840.83x = 605,026.69
  5. Step 5: Solve for x
    x = 605,026.69/840.83
  6. Step 6: Final answer
    x = 719.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.