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Finding the Fourth Proportional to 489.58, 730.45 and 466.36

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Solution

The fourth proportional to 489.58, 730.45 and 466.36 is: 695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.58 : 730.45 = 466.36 : x
  2. Step 2: Convert to fraction form
    489.58/730.45 = 466.36/x
  3. Step 3: Cross multiply
    489.58x = 730.45 × 466.36
  4. Step 4: Simplify right side
    489.58x = 340,651.42
  5. Step 5: Solve for x
    x = 340,651.42/489.58
  6. Step 6: Final answer
    x = 695.81

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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.