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Finding the Fourth Proportional to 1,112.92, 1,535.76 and 670.56

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Solution

The fourth proportional to 1,112.92, 1,535.76 and 670.56 is: 925.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.92 : 1,535.76 = 670.56 : x
  2. Step 2: Convert to fraction form
    1,112.92/1,535.76 = 670.56/x
  3. Step 3: Cross multiply
    1,112.92x = 1,535.76 × 670.56
  4. Step 4: Simplify right side
    1,112.92x = 1,029,819.23
  5. Step 5: Solve for x
    x = 1,029,819.23/1,112.92
  6. Step 6: Final answer
    x = 925.33

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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.