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Finding the Fourth Proportional to 763.68, 1,141.34 and 556.86

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Solution

The fourth proportional to 763.68, 1,141.34 and 556.86 is: 832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,141.34 = 556.86 : x
  2. Step 2: Convert to fraction form
    763.68/1,141.34 = 556.86/x
  3. Step 3: Cross multiply
    763.68x = 1,141.34 × 556.86
  4. Step 4: Simplify right side
    763.68x = 635,563.81
  5. Step 5: Solve for x
    x = 635,563.81/763.68
  6. Step 6: Final answer
    x = 832.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.