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Finding the Fourth Proportional to 1,059.94, 1,590.32 and 512.31

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Solution

The fourth proportional to 1,059.94, 1,590.32 and 512.31 is: 768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.94 : 1,590.32 = 512.31 : x
  2. Step 2: Convert to fraction form
    1,059.94/1,590.32 = 512.31/x
  3. Step 3: Cross multiply
    1,059.94x = 1,590.32 × 512.31
  4. Step 4: Simplify right side
    1,059.94x = 814,736.84
  5. Step 5: Solve for x
    x = 814,736.84/1,059.94
  6. Step 6: Final answer
    x = 768.66

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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.