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Finding the Fourth Proportional to 1,060.90, 1,590.78 and 330.19

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Solution

The fourth proportional to 1,060.90, 1,590.78 and 330.19 is: 495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.90 : 1,590.78 = 330.19 : x
  2. Step 2: Convert to fraction form
    1,060.90/1,590.78 = 330.19/x
  3. Step 3: Cross multiply
    1,060.90x = 1,590.78 × 330.19
  4. Step 4: Simplify right side
    1,060.90x = 525,259.65
  5. Step 5: Solve for x
    x = 525,259.65/1,060.90
  6. Step 6: Final answer
    x = 495.11

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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.