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Finding the Fourth Proportional to 770.53, 1,155.60 and 359.27

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Solution

The fourth proportional to 770.53, 1,155.60 and 359.27 is: 538.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.53 : 1,155.60 = 359.27 : x
  2. Step 2: Convert to fraction form
    770.53/1,155.60 = 359.27/x
  3. Step 3: Cross multiply
    770.53x = 1,155.60 × 359.27
  4. Step 4: Simplify right side
    770.53x = 415,172.41
  5. Step 5: Solve for x
    x = 415,172.41/770.53
  6. Step 6: Final answer
    x = 538.81

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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.