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Finding the Fourth Proportional to 1,148.87, 1,584.94 and 765.70

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Solution

The fourth proportional to 1,148.87, 1,584.94 and 765.70 is: 1,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.87 : 1,584.94 = 765.70 : x
  2. Step 2: Convert to fraction form
    1,148.87/1,584.94 = 765.70/x
  3. Step 3: Cross multiply
    1,148.87x = 1,584.94 × 765.70
  4. Step 4: Simplify right side
    1,148.87x = 1,213,582.68
  5. Step 5: Solve for x
    x = 1,213,582.68/1,148.87
  6. Step 6: Final answer
    x = 1,056.32

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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.