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Finding the Fourth Proportional to 489.65, 735.31 and 407.30

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Solution

The fourth proportional to 489.65, 735.31 and 407.30 is: 611.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.65 : 735.31 = 407.30 : x
  2. Step 2: Convert to fraction form
    489.65/735.31 = 407.30/x
  3. Step 3: Cross multiply
    489.65x = 735.31 × 407.30
  4. Step 4: Simplify right side
    489.65x = 299,488.60
  5. Step 5: Solve for x
    x = 299,488.60/489.65
  6. Step 6: Final answer
    x = 611.64

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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.