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Finding the Fourth Proportional to 763.96, 1,053.66 and 680.02

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Solution

The fourth proportional to 763.96, 1,053.66 and 680.02 is: 937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.96 : 1,053.66 = 680.02 : x
  2. Step 2: Convert to fraction form
    763.96/1,053.66 = 680.02/x
  3. Step 3: Cross multiply
    763.96x = 1,053.66 × 680.02
  4. Step 4: Simplify right side
    763.96x = 716,509.87
  5. Step 5: Solve for x
    x = 716,509.87/763.96
  6. Step 6: Final answer
    x = 937.89

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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.