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Finding the Fourth Proportional to 1,065.05, 1,597.88 and 772.84

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Solution

The fourth proportional to 1,065.05, 1,597.88 and 772.84 is: 1,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.05 : 1,597.88 = 772.84 : x
  2. Step 2: Convert to fraction form
    1,065.05/1,597.88 = 772.84/x
  3. Step 3: Cross multiply
    1,065.05x = 1,597.88 × 772.84
  4. Step 4: Simplify right side
    1,065.05x = 1,234,905.16
  5. Step 5: Solve for x
    x = 1,234,905.16/1,065.05
  6. Step 6: Final answer
    x = 1,159.48

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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.