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Finding the Fourth Proportional to 640.76, 960.63 and 589.51

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Solution

The fourth proportional to 640.76, 960.63 and 589.51 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.76 : 960.63 = 589.51 : x
  2. Step 2: Convert to fraction form
    640.76/960.63 = 589.51/x
  3. Step 3: Cross multiply
    640.76x = 960.63 × 589.51
  4. Step 4: Simplify right side
    640.76x = 566,300.99
  5. Step 5: Solve for x
    x = 566,300.99/640.76
  6. Step 6: Final answer
    x = 883.80

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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.