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Finding the Fourth Proportional to 685.60, 1,027.32 and 531.90

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Solution

The fourth proportional to 685.60, 1,027.32 and 531.90 is: 797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.60 : 1,027.32 = 531.90 : x
  2. Step 2: Convert to fraction form
    685.60/1,027.32 = 531.90/x
  3. Step 3: Cross multiply
    685.60x = 1,027.32 × 531.90
  4. Step 4: Simplify right side
    685.60x = 546,431.51
  5. Step 5: Solve for x
    x = 546,431.51/685.60
  6. Step 6: Final answer
    x = 797.01

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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.