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Finding the Fourth Proportional to 1,101.69, 1,520.26 and 604.33

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Solution

The fourth proportional to 1,101.69, 1,520.26 and 604.33 is: 833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.69 : 1,520.26 = 604.33 : x
  2. Step 2: Convert to fraction form
    1,101.69/1,520.26 = 604.33/x
  3. Step 3: Cross multiply
    1,101.69x = 1,520.26 × 604.33
  4. Step 4: Simplify right side
    1,101.69x = 918,733.41
  5. Step 5: Solve for x
    x = 918,733.41/1,101.69
  6. Step 6: Final answer
    x = 833.93

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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.