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Finding the Fourth Proportional to 875.62, 1,311.72 and 529.06

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Solution

The fourth proportional to 875.62, 1,311.72 and 529.06 is: 792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.62 : 1,311.72 = 529.06 : x
  2. Step 2: Convert to fraction form
    875.62/1,311.72 = 529.06/x
  3. Step 3: Cross multiply
    875.62x = 1,311.72 × 529.06
  4. Step 4: Simplify right side
    875.62x = 693,978.58
  5. Step 5: Solve for x
    x = 693,978.58/875.62
  6. Step 6: Final answer
    x = 792.56

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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.