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Finding the Fourth Proportional to 601.65, 902.30 and 480.15

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Solution

The fourth proportional to 601.65, 902.30 and 480.15 is: 720.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.65 : 902.30 = 480.15 : x
  2. Step 2: Convert to fraction form
    601.65/902.30 = 480.15/x
  3. Step 3: Cross multiply
    601.65x = 902.30 × 480.15
  4. Step 4: Simplify right side
    601.65x = 433,236.94
  5. Step 5: Solve for x
    x = 433,236.94/601.65
  6. Step 6: Final answer
    x = 720.08

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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.