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Finding the Fourth Proportional to 431.68, 648.35 and 370.12

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Solution

The fourth proportional to 431.68, 648.35 and 370.12 is: 555.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 648.35 = 370.12 : x
  2. Step 2: Convert to fraction form
    431.68/648.35 = 370.12/x
  3. Step 3: Cross multiply
    431.68x = 648.35 × 370.12
  4. Step 4: Simplify right side
    431.68x = 239,967.30
  5. Step 5: Solve for x
    x = 239,967.30/431.68
  6. Step 6: Final answer
    x = 555.89

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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.