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Finding the Fourth Proportional to 640.01, 960.08 and 589.29

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Solution

The fourth proportional to 640.01, 960.08 and 589.29 is: 884.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.01 : 960.08 = 589.29 : x
  2. Step 2: Convert to fraction form
    640.01/960.08 = 589.29/x
  3. Step 3: Cross multiply
    640.01x = 960.08 × 589.29
  4. Step 4: Simplify right side
    640.01x = 565,762.60
  5. Step 5: Solve for x
    x = 565,762.60/640.01
  6. Step 6: Final answer
    x = 884.00

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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.