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Finding the Fourth Proportional to 945.52, 1,415.28 and 770.69

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Solution

The fourth proportional to 945.52, 1,415.28 and 770.69 is: 1,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.52 : 1,415.28 = 770.69 : x
  2. Step 2: Convert to fraction form
    945.52/1,415.28 = 770.69/x
  3. Step 3: Cross multiply
    945.52x = 1,415.28 × 770.69
  4. Step 4: Simplify right side
    945.52x = 1,090,742.14
  5. Step 5: Solve for x
    x = 1,090,742.14/945.52
  6. Step 6: Final answer
    x = 1,153.60

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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.