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Finding the Fourth Proportional to 775.68, 1,159.08 and 589.56

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Solution

The fourth proportional to 775.68, 1,159.08 and 589.56 is: 880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.68 : 1,159.08 = 589.56 : x
  2. Step 2: Convert to fraction form
    775.68/1,159.08 = 589.56/x
  3. Step 3: Cross multiply
    775.68x = 1,159.08 × 589.56
  4. Step 4: Simplify right side
    775.68x = 683,345.62
  5. Step 5: Solve for x
    x = 683,345.62/775.68
  6. Step 6: Final answer
    x = 880.97

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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.