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Finding the Fourth Proportional to 485.72, 670.30 and 330.52

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Solution

The fourth proportional to 485.72, 670.30 and 330.52 is: 456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.72 : 670.30 = 330.52 : x
  2. Step 2: Convert to fraction form
    485.72/670.30 = 330.52/x
  3. Step 3: Cross multiply
    485.72x = 670.30 × 330.52
  4. Step 4: Simplify right side
    485.72x = 221,547.56
  5. Step 5: Solve for x
    x = 221,547.56/485.72
  6. Step 6: Final answer
    x = 456.12

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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.