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Finding the Fourth Proportional to 845.26, 1,267.86 and 358.30

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Solution

The fourth proportional to 845.26, 1,267.86 and 358.30 is: 537.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.26 : 1,267.86 = 358.30 : x
  2. Step 2: Convert to fraction form
    845.26/1,267.86 = 358.30/x
  3. Step 3: Cross multiply
    845.26x = 1,267.86 × 358.30
  4. Step 4: Simplify right side
    845.26x = 454,274.24
  5. Step 5: Solve for x
    x = 454,274.24/845.26
  6. Step 6: Final answer
    x = 537.44

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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.