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Finding the Fourth Proportional to 601.63, 902.73 and 313.06

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Solution

The fourth proportional to 601.63, 902.73 and 313.06 is: 469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.63 : 902.73 = 313.06 : x
  2. Step 2: Convert to fraction form
    601.63/902.73 = 313.06/x
  3. Step 3: Cross multiply
    601.63x = 902.73 × 313.06
  4. Step 4: Simplify right side
    601.63x = 282,608.65
  5. Step 5: Solve for x
    x = 282,608.65/601.63
  6. Step 6: Final answer
    x = 469.74

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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.