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Finding the Fourth Proportional to 640.92, 956.58 and 589.62

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Solution

The fourth proportional to 640.92, 956.58 and 589.62 is: 880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.92 : 956.58 = 589.62 : x
  2. Step 2: Convert to fraction form
    640.92/956.58 = 589.62/x
  3. Step 3: Cross multiply
    640.92x = 956.58 × 589.62
  4. Step 4: Simplify right side
    640.92x = 564,018.70
  5. Step 5: Solve for x
    x = 564,018.70/640.92
  6. Step 6: Final answer
    x = 880.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.