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Finding the Fourth Proportional to 931.31, 1,395.60 and 410.84

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Solution

The fourth proportional to 931.31, 1,395.60 and 410.84 is: 615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.31 : 1,395.60 = 410.84 : x
  2. Step 2: Convert to fraction form
    931.31/1,395.60 = 410.84/x
  3. Step 3: Cross multiply
    931.31x = 1,395.60 × 410.84
  4. Step 4: Simplify right side
    931.31x = 573,365.02
  5. Step 5: Solve for x
    x = 573,365.02/931.31
  6. Step 6: Final answer
    x = 615.65

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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.