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Finding the Fourth Proportional to 489.46, 735.64 and 316.66

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Solution

The fourth proportional to 489.46, 735.64 and 316.66 is: 475.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.46 : 735.64 = 316.66 : x
  2. Step 2: Convert to fraction form
    489.46/735.64 = 316.66/x
  3. Step 3: Cross multiply
    489.46x = 735.64 × 316.66
  4. Step 4: Simplify right side
    489.46x = 232,947.76
  5. Step 5: Solve for x
    x = 232,947.76/489.46
  6. Step 6: Final answer
    x = 475.93

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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.