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Finding the Fourth Proportional to 763.35, 1,053.16 and 664.93

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Solution

The fourth proportional to 763.35, 1,053.16 and 664.93 is: 917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.35 : 1,053.16 = 664.93 : x
  2. Step 2: Convert to fraction form
    763.35/1,053.16 = 664.93/x
  3. Step 3: Cross multiply
    763.35x = 1,053.16 × 664.93
  4. Step 4: Simplify right side
    763.35x = 700,277.68
  5. Step 5: Solve for x
    x = 700,277.68/763.35
  6. Step 6: Final answer
    x = 917.37

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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.