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Finding the Fourth Proportional to 639.65, 953.84 and 589.16

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Solution

The fourth proportional to 639.65, 953.84 and 589.16 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.65 : 953.84 = 589.16 : x
  2. Step 2: Convert to fraction form
    639.65/953.84 = 589.16/x
  3. Step 3: Cross multiply
    639.65x = 953.84 × 589.16
  4. Step 4: Simplify right side
    639.65x = 561,961.99
  5. Step 5: Solve for x
    x = 561,961.99/639.65
  6. Step 6: Final answer
    x = 878.55

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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.