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Finding the Fourth Proportional to 918.48, 1,378.22 and 431.54

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Solution

The fourth proportional to 918.48, 1,378.22 and 431.54 is: 647.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.48 : 1,378.22 = 431.54 : x
  2. Step 2: Convert to fraction form
    918.48/1,378.22 = 431.54/x
  3. Step 3: Cross multiply
    918.48x = 1,378.22 × 431.54
  4. Step 4: Simplify right side
    918.48x = 594,748.01
  5. Step 5: Solve for x
    x = 594,748.01/918.48
  6. Step 6: Final answer
    x = 647.54

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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.