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Finding the Fourth Proportional to 770.26, 1,155.36 and 358.83

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Solution

The fourth proportional to 770.26, 1,155.36 and 358.83 is: 538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.26 : 1,155.36 = 358.83 : x
  2. Step 2: Convert to fraction form
    770.26/1,155.36 = 358.83/x
  3. Step 3: Cross multiply
    770.26x = 1,155.36 × 358.83
  4. Step 4: Simplify right side
    770.26x = 414,579.17
  5. Step 5: Solve for x
    x = 414,579.17/770.26
  6. Step 6: Final answer
    x = 538.23

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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.