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Finding the Fourth Proportional to 589.87, 879.53 and 589.06

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Solution

The fourth proportional to 589.87, 879.53 and 589.06 is: 878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.87 : 879.53 = 589.06 : x
  2. Step 2: Convert to fraction form
    589.87/879.53 = 589.06/x
  3. Step 3: Cross multiply
    589.87x = 879.53 × 589.06
  4. Step 4: Simplify right side
    589.87x = 518,095.94
  5. Step 5: Solve for x
    x = 518,095.94/589.87
  6. Step 6: Final answer
    x = 878.32

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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.