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Finding the Fourth Proportional to 1,152.28, 1,590.70 and 680.04

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Solution

The fourth proportional to 1,152.28, 1,590.70 and 680.04 is: 938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.28 : 1,590.70 = 680.04 : x
  2. Step 2: Convert to fraction form
    1,152.28/1,590.70 = 680.04/x
  3. Step 3: Cross multiply
    1,152.28x = 1,590.70 × 680.04
  4. Step 4: Simplify right side
    1,152.28x = 1,081,739.63
  5. Step 5: Solve for x
    x = 1,081,739.63/1,152.28
  6. Step 6: Final answer
    x = 938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.