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Finding the Fourth Proportional to 774.60, 1,069.10 and 606.22

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Solution

The fourth proportional to 774.60, 1,069.10 and 606.22 is: 836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,069.10 = 606.22 : x
  2. Step 2: Convert to fraction form
    774.60/1,069.10 = 606.22/x
  3. Step 3: Cross multiply
    774.60x = 1,069.10 × 606.22
  4. Step 4: Simplify right side
    774.60x = 648,109.80
  5. Step 5: Solve for x
    x = 648,109.80/774.60
  6. Step 6: Final answer
    x = 836.70

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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.