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Finding the Fourth Proportional to 608.37, 913.13 and 320.01

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Solution

The fourth proportional to 608.37, 913.13 and 320.01 is: 480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.37 : 913.13 = 320.01 : x
  2. Step 2: Convert to fraction form
    608.37/913.13 = 320.01/x
  3. Step 3: Cross multiply
    608.37x = 913.13 × 320.01
  4. Step 4: Simplify right side
    608.37x = 292,209.13
  5. Step 5: Solve for x
    x = 292,209.13/608.37
  6. Step 6: Final answer
    x = 480.31

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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.