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Finding the Fourth Proportional to 1,060.68, 1,590.75 and 330.42

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Solution

The fourth proportional to 1,060.68, 1,590.75 and 330.42 is: 495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.68 : 1,590.75 = 330.42 : x
  2. Step 2: Convert to fraction form
    1,060.68/1,590.75 = 330.42/x
  3. Step 3: Cross multiply
    1,060.68x = 1,590.75 × 330.42
  4. Step 4: Simplify right side
    1,060.68x = 525,615.62
  5. Step 5: Solve for x
    x = 525,615.62/1,060.68
  6. Step 6: Final answer
    x = 495.55

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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.