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Finding the Fourth Proportional to 776.01, 1,162.96 and 602.88

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Solution

The fourth proportional to 776.01, 1,162.96 and 602.88 is: 903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.01 : 1,162.96 = 602.88 : x
  2. Step 2: Convert to fraction form
    776.01/1,162.96 = 602.88/x
  3. Step 3: Cross multiply
    776.01x = 1,162.96 × 602.88
  4. Step 4: Simplify right side
    776.01x = 701,119.46
  5. Step 5: Solve for x
    x = 701,119.46/776.01
  6. Step 6: Final answer
    x = 903.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.