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Finding the Fourth Proportional to 930.78, 1,402.47 and 772.02

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Solution

The fourth proportional to 930.78, 1,402.47 and 772.02 is: 1,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,402.47 = 772.02 : x
  2. Step 2: Convert to fraction form
    930.78/1,402.47 = 772.02/x
  3. Step 3: Cross multiply
    930.78x = 1,402.47 × 772.02
  4. Step 4: Simplify right side
    930.78x = 1,082,734.89
  5. Step 5: Solve for x
    x = 1,082,734.89/930.78
  6. Step 6: Final answer
    x = 1,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.