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Finding the Fourth Proportional to 641.60, 881.20 and 593.60

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Solution

The fourth proportional to 641.60, 881.20 and 593.60 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.60 : 881.20 = 593.60 : x
  2. Step 2: Convert to fraction form
    641.60/881.20 = 593.60/x
  3. Step 3: Cross multiply
    641.60x = 881.20 × 593.60
  4. Step 4: Simplify right side
    641.60x = 523,080.32
  5. Step 5: Solve for x
    x = 523,080.32/641.60
  6. Step 6: Final answer
    x = 815.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.