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Finding the Fourth Proportional to 763.59, 1,056.53 and 665.55

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Solution

The fourth proportional to 763.59, 1,056.53 and 665.55 is: 920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.59 : 1,056.53 = 665.55 : x
  2. Step 2: Convert to fraction form
    763.59/1,056.53 = 665.55/x
  3. Step 3: Cross multiply
    763.59x = 1,056.53 × 665.55
  4. Step 4: Simplify right side
    763.59x = 703,173.54
  5. Step 5: Solve for x
    x = 703,173.54/763.59
  6. Step 6: Final answer
    x = 920.88

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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.