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Finding the Fourth Proportional to 763.70, 1,053.82 and 564.64

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Solution

The fourth proportional to 763.70, 1,053.82 and 564.64 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.70 : 1,053.82 = 564.64 : x
  2. Step 2: Convert to fraction form
    763.70/1,053.82 = 564.64/x
  3. Step 3: Cross multiply
    763.70x = 1,053.82 × 564.64
  4. Step 4: Simplify right side
    763.70x = 595,028.92
  5. Step 5: Solve for x
    x = 595,028.92/763.70
  6. Step 6: Final answer
    x = 779.14

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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.