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Finding the Fourth Proportional to 485.30, 670.66 and 431.30

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Solution

The fourth proportional to 485.30, 670.66 and 431.30 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.30 : 670.66 = 431.30 : x
  2. Step 2: Convert to fraction form
    485.30/670.66 = 431.30/x
  3. Step 3: Cross multiply
    485.30x = 670.66 × 431.30
  4. Step 4: Simplify right side
    485.30x = 289,251.23
  5. Step 5: Solve for x
    x = 289,251.23/485.30
  6. Step 6: Final answer
    x = 596.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.