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Finding the Fourth Proportional to 489.42, 675.48 and 312.46

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Solution

The fourth proportional to 489.42, 675.48 and 312.46 is: 431.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.42 : 675.48 = 312.46 : x
  2. Step 2: Convert to fraction form
    489.42/675.48 = 312.46/x
  3. Step 3: Cross multiply
    489.42x = 675.48 × 312.46
  4. Step 4: Simplify right side
    489.42x = 211,060.48
  5. Step 5: Solve for x
    x = 211,060.48/489.42
  6. Step 6: Final answer
    x = 431.25

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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.