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Finding the Fourth Proportional to 763.86, 1,145.76 and 325.10

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Solution

The fourth proportional to 763.86, 1,145.76 and 325.10 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.86 : 1,145.76 = 325.10 : x
  2. Step 2: Convert to fraction form
    763.86/1,145.76 = 325.10/x
  3. Step 3: Cross multiply
    763.86x = 1,145.76 × 325.10
  4. Step 4: Simplify right side
    763.86x = 372,486.58
  5. Step 5: Solve for x
    x = 372,486.58/763.86
  6. Step 6: Final answer
    x = 487.64

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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.