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Finding the Fourth Proportional to 914.58, 1,371.75 and 452.22

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Solution

The fourth proportional to 914.58, 1,371.75 and 452.22 is: 678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.58 : 1,371.75 = 452.22 : x
  2. Step 2: Convert to fraction form
    914.58/1,371.75 = 452.22/x
  3. Step 3: Cross multiply
    914.58x = 1,371.75 × 452.22
  4. Step 4: Simplify right side
    914.58x = 620,332.79
  5. Step 5: Solve for x
    x = 620,332.79/914.58
  6. Step 6: Final answer
    x = 678.27

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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.