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Finding the Fourth Proportional to 770.26, 1,153.47 and 444.64

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Solution

The fourth proportional to 770.26, 1,153.47 and 444.64 is: 665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,153.47 = 444.64 : x
  2. Step 2: Convert to fraction form
    770.26/1,153.47 = 444.64/x
  3. Step 3: Cross multiply
    770.26x = 1,153.47 × 444.64
  4. Step 4: Simplify right side
    770.26x = 512,878.90
  5. Step 5: Solve for x
    x = 512,878.90/770.26
  6. Step 6: Final answer
    x = 665.85

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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.