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Finding the Fourth Proportional to 637.64, 878.20 and 589.04

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Solution

The fourth proportional to 637.64, 878.20 and 589.04 is: 811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.64 : 878.20 = 589.04 : x
  2. Step 2: Convert to fraction form
    637.64/878.20 = 589.04/x
  3. Step 3: Cross multiply
    637.64x = 878.20 × 589.04
  4. Step 4: Simplify right side
    637.64x = 517,289.06
  5. Step 5: Solve for x
    x = 517,289.06/637.64
  6. Step 6: Final answer
    x = 811.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.