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Finding the Fourth Proportional to 1,152.87, 1,590.47 and 680.57

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Solution

The fourth proportional to 1,152.87, 1,590.47 and 680.57 is: 938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.87 : 1,590.47 = 680.57 : x
  2. Step 2: Convert to fraction form
    1,152.87/1,590.47 = 680.57/x
  3. Step 3: Cross multiply
    1,152.87x = 1,590.47 × 680.57
  4. Step 4: Simplify right side
    1,152.87x = 1,082,431.85
  5. Step 5: Solve for x
    x = 1,082,431.85/1,152.87
  6. Step 6: Final answer
    x = 938.90

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1.5x scale

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.