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Finding the Fourth Proportional to 1,308.94, 1,963.17 and 528.91

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Solution

The fourth proportional to 1,308.94, 1,963.17 and 528.91 is: 793.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.94 : 1,963.17 = 528.91 : x
  2. Step 2: Convert to fraction form
    1,308.94/1,963.17 = 528.91/x
  3. Step 3: Cross multiply
    1,308.94x = 1,963.17 × 528.91
  4. Step 4: Simplify right side
    1,308.94x = 1,038,340.24
  5. Step 5: Solve for x
    x = 1,038,340.24/1,308.94
  6. Step 6: Final answer
    x = 793.27

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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.