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Finding the Fourth Proportional to 770.39, 1,152.15 and 684.28

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Solution

The fourth proportional to 770.39, 1,152.15 and 684.28 is: 1,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.39 : 1,152.15 = 684.28 : x
  2. Step 2: Convert to fraction form
    770.39/1,152.15 = 684.28/x
  3. Step 3: Cross multiply
    770.39x = 1,152.15 × 684.28
  4. Step 4: Simplify right side
    770.39x = 788,387.76
  5. Step 5: Solve for x
    x = 788,387.76/770.39
  6. Step 6: Final answer
    x = 1,023.37

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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.