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Finding the Fourth Proportional to 1,060.59, 1,590.36 and 367.08

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Solution

The fourth proportional to 1,060.59, 1,590.36 and 367.08 is: 550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.59 : 1,590.36 = 367.08 : x
  2. Step 2: Convert to fraction form
    1,060.59/1,590.36 = 367.08/x
  3. Step 3: Cross multiply
    1,060.59x = 1,590.36 × 367.08
  4. Step 4: Simplify right side
    1,060.59x = 583,789.35
  5. Step 5: Solve for x
    x = 583,789.35/1,060.59
  6. Step 6: Final answer
    x = 550.44

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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.