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Finding the Fourth Proportional to 770.30, 1,059.99 and 737.54

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Solution

The fourth proportional to 770.30, 1,059.99 and 737.54 is: 1,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.30 : 1,059.99 = 737.54 : x
  2. Step 2: Convert to fraction form
    770.30/1,059.99 = 737.54/x
  3. Step 3: Cross multiply
    770.30x = 1,059.99 × 737.54
  4. Step 4: Simplify right side
    770.30x = 781,785.02
  5. Step 5: Solve for x
    x = 781,785.02/770.30
  6. Step 6: Final answer
    x = 1,014.91

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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.