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Finding the Fourth Proportional to 763.91, 1,053.09 and 564.45

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Solution

The fourth proportional to 763.91, 1,053.09 and 564.45 is: 778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.91 : 1,053.09 = 564.45 : x
  2. Step 2: Convert to fraction form
    763.91/1,053.09 = 564.45/x
  3. Step 3: Cross multiply
    763.91x = 1,053.09 × 564.45
  4. Step 4: Simplify right side
    763.91x = 594,418.06
  5. Step 5: Solve for x
    x = 594,418.06/763.91
  6. Step 6: Final answer
    x = 778.12

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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.