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Finding the Fourth Proportional to 772.02, 1,065.78 and 697.32

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Solution

The fourth proportional to 772.02, 1,065.78 and 697.32 is: 962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.02 : 1,065.78 = 697.32 : x
  2. Step 2: Convert to fraction form
    772.02/1,065.78 = 697.32/x
  3. Step 3: Cross multiply
    772.02x = 1,065.78 × 697.32
  4. Step 4: Simplify right side
    772.02x = 743,189.71
  5. Step 5: Solve for x
    x = 743,189.71/772.02
  6. Step 6: Final answer
    x = 962.66

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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.