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Finding the Fourth Proportional to 772.74, 1,159.57 and 589.58

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Solution

The fourth proportional to 772.74, 1,159.57 and 589.58 is: 884.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.74 : 1,159.57 = 589.58 : x
  2. Step 2: Convert to fraction form
    772.74/1,159.57 = 589.58/x
  3. Step 3: Cross multiply
    772.74x = 1,159.57 × 589.58
  4. Step 4: Simplify right side
    772.74x = 683,655.25
  5. Step 5: Solve for x
    x = 683,655.25/772.74
  6. Step 6: Final answer
    x = 884.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.