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Finding the Fourth Proportional to 766.01, 1,055.13 and 599.93

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Solution

The fourth proportional to 766.01, 1,055.13 and 599.93 is: 826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.01 : 1,055.13 = 599.93 : x
  2. Step 2: Convert to fraction form
    766.01/1,055.13 = 599.93/x
  3. Step 3: Cross multiply
    766.01x = 1,055.13 × 599.93
  4. Step 4: Simplify right side
    766.01x = 633,004.14
  5. Step 5: Solve for x
    x = 633,004.14/766.01
  6. Step 6: Final answer
    x = 826.36

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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.