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Finding the Fourth Proportional to 770.32, 1,148.81 and 733.60

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Solution

The fourth proportional to 770.32, 1,148.81 and 733.60 is: 1,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.32 : 1,148.81 = 733.60 : x
  2. Step 2: Convert to fraction form
    770.32/1,148.81 = 733.60/x
  3. Step 3: Cross multiply
    770.32x = 1,148.81 × 733.60
  4. Step 4: Simplify right side
    770.32x = 842,767.02
  5. Step 5: Solve for x
    x = 842,767.02/770.32
  6. Step 6: Final answer
    x = 1,094.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.