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Finding the Fourth Proportional to 763.25, 1,053.62 and 511.59

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Solution

The fourth proportional to 763.25, 1,053.62 and 511.59 is: 706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.25 : 1,053.62 = 511.59 : x
  2. Step 2: Convert to fraction form
    763.25/1,053.62 = 511.59/x
  3. Step 3: Cross multiply
    763.25x = 1,053.62 × 511.59
  4. Step 4: Simplify right side
    763.25x = 539,018.84
  5. Step 5: Solve for x
    x = 539,018.84/763.25
  6. Step 6: Final answer
    x = 706.22

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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.