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Finding the Fourth Proportional to 489.66, 731 and 472.58

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Solution

The fourth proportional to 489.66, 731 and 472.58 is: 705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.66 : 731 = 472.58 : x
  2. Step 2: Convert to fraction form
    489.66/731 = 472.58/x
  3. Step 3: Cross multiply
    489.66x = 731 × 472.58
  4. Step 4: Simplify right side
    489.66x = 345,455.98
  5. Step 5: Solve for x
    x = 345,455.98/489.66
  6. Step 6: Final answer
    x = 705.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.