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Finding the Fourth Proportional to 869.02, 1,301.85 and 772.06

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Solution

The fourth proportional to 869.02, 1,301.85 and 772.06 is: 1,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.02 : 1,301.85 = 772.06 : x
  2. Step 2: Convert to fraction form
    869.02/1,301.85 = 772.06/x
  3. Step 3: Cross multiply
    869.02x = 1,301.85 × 772.06
  4. Step 4: Simplify right side
    869.02x = 1,005,106.31
  5. Step 5: Solve for x
    x = 1,005,106.31/869.02
  6. Step 6: Final answer
    x = 1,156.60

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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.