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Finding the Fourth Proportional to 893.60, 1,334.95 and 711.20

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Solution

The fourth proportional to 893.60, 1,334.95 and 711.20 is: 1,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.60 : 1,334.95 = 711.20 : x
  2. Step 2: Convert to fraction form
    893.60/1,334.95 = 711.20/x
  3. Step 3: Cross multiply
    893.60x = 1,334.95 × 711.20
  4. Step 4: Simplify right side
    893.60x = 949,416.44
  5. Step 5: Solve for x
    x = 949,416.44/893.60
  6. Step 6: Final answer
    x = 1,062.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.