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Finding the Fourth Proportional to 993.60, 1,373.76 and 685.44

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Solution

The fourth proportional to 993.60, 1,373.76 and 685.44 is: 947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.60 : 1,373.76 = 685.44 : x
  2. Step 2: Convert to fraction form
    993.60/1,373.76 = 685.44/x
  3. Step 3: Cross multiply
    993.60x = 1,373.76 × 685.44
  4. Step 4: Simplify right side
    993.60x = 941,630.05
  5. Step 5: Solve for x
    x = 941,630.05/993.60
  6. Step 6: Final answer
    x = 947.70

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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.