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Finding the Fourth Proportional to 1,059.79, 1,590.02 and 512.03

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Solution

The fourth proportional to 1,059.79, 1,590.02 and 512.03 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.79 : 1,590.02 = 512.03 : x
  2. Step 2: Convert to fraction form
    1,059.79/1,590.02 = 512.03/x
  3. Step 3: Cross multiply
    1,059.79x = 1,590.02 × 512.03
  4. Step 4: Simplify right side
    1,059.79x = 814,137.94
  5. Step 5: Solve for x
    x = 814,137.94/1,059.79
  6. Step 6: Final answer
    x = 768.21

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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.