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Finding the Fourth Proportional to 763.44, 1,053.42 and 468.86

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Solution

The fourth proportional to 763.44, 1,053.42 and 468.86 is: 646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.44 : 1,053.42 = 468.86 : x
  2. Step 2: Convert to fraction form
    763.44/1,053.42 = 468.86/x
  3. Step 3: Cross multiply
    763.44x = 1,053.42 × 468.86
  4. Step 4: Simplify right side
    763.44x = 493,906.50
  5. Step 5: Solve for x
    x = 493,906.50/763.44
  6. Step 6: Final answer
    x = 646.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.