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Finding the Fourth Proportional to 1,148.35, 1,584.21 and 775.21

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Solution

The fourth proportional to 1,148.35, 1,584.21 and 775.21 is: 1,069.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.35 : 1,584.21 = 775.21 : x
  2. Step 2: Convert to fraction form
    1,148.35/1,584.21 = 775.21/x
  3. Step 3: Cross multiply
    1,148.35x = 1,584.21 × 775.21
  4. Step 4: Simplify right side
    1,148.35x = 1,228,095.43
  5. Step 5: Solve for x
    x = 1,228,095.43/1,148.35
  6. Step 6: Final answer
    x = 1,069.44

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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.