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Finding the Fourth Proportional to 763.07, 1,053.09 and 468.18

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Solution

The fourth proportional to 763.07, 1,053.09 and 468.18 is: 646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.07 : 1,053.09 = 468.18 : x
  2. Step 2: Convert to fraction form
    763.07/1,053.09 = 468.18/x
  3. Step 3: Cross multiply
    763.07x = 1,053.09 × 468.18
  4. Step 4: Simplify right side
    763.07x = 493,035.68
  5. Step 5: Solve for x
    x = 493,035.68/763.07
  6. Step 6: Final answer
    x = 646.13

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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.