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Finding the Fourth Proportional to 894.45, 1,340.64 and 529.55

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Solution

The fourth proportional to 894.45, 1,340.64 and 529.55 is: 793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.45 : 1,340.64 = 529.55 : x
  2. Step 2: Convert to fraction form
    894.45/1,340.64 = 529.55/x
  3. Step 3: Cross multiply
    894.45x = 1,340.64 × 529.55
  4. Step 4: Simplify right side
    894.45x = 709,926.56
  5. Step 5: Solve for x
    x = 709,926.56/894.45
  6. Step 6: Final answer
    x = 793.70

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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.