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Finding the Fourth Proportional to 763.12, 1,053.12 and 468.24

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Solution

The fourth proportional to 763.12, 1,053.12 and 468.24 is: 646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.12 : 1,053.12 = 468.24 : x
  2. Step 2: Convert to fraction form
    763.12/1,053.12 = 468.24/x
  3. Step 3: Cross multiply
    763.12x = 1,053.12 × 468.24
  4. Step 4: Simplify right side
    763.12x = 493,112.91
  5. Step 5: Solve for x
    x = 493,112.91/763.12
  6. Step 6: Final answer
    x = 646.18

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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.