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Finding the Fourth Proportional to 1,061.57, 1,590.99 and 513

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Solution

The fourth proportional to 1,061.57, 1,590.99 and 513 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.57 : 1,590.99 = 513 : x
  2. Step 2: Convert to fraction form
    1,061.57/1,590.99 = 513/x
  3. Step 3: Cross multiply
    1,061.57x = 1,590.99 × 513
  4. Step 4: Simplify right side
    1,061.57x = 816,177.87
  5. Step 5: Solve for x
    x = 816,177.87/1,061.57
  6. Step 6: Final answer
    x = 768.84

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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.