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Finding the Fourth Proportional to 764.63, 1,056.18 and 565.86

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Solution

The fourth proportional to 764.63, 1,056.18 and 565.86 is: 781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.63 : 1,056.18 = 565.86 : x
  2. Step 2: Convert to fraction form
    764.63/1,056.18 = 565.86/x
  3. Step 3: Cross multiply
    764.63x = 1,056.18 × 565.86
  4. Step 4: Simplify right side
    764.63x = 597,650.01
  5. Step 5: Solve for x
    x = 597,650.01/764.63
  6. Step 6: Final answer
    x = 781.62

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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.