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Finding the Fourth Proportional to 852.34, 1,278.54 and 462.64

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Solution

The fourth proportional to 852.34, 1,278.54 and 462.64 is: 693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.34 : 1,278.54 = 462.64 : x
  2. Step 2: Convert to fraction form
    852.34/1,278.54 = 462.64/x
  3. Step 3: Cross multiply
    852.34x = 1,278.54 × 462.64
  4. Step 4: Simplify right side
    852.34x = 591,503.75
  5. Step 5: Solve for x
    x = 591,503.75/852.34
  6. Step 6: Final answer
    x = 693.98

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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.