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Finding the Fourth Proportional to 855.40, 1,180.10 and 523.58

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Solution

The fourth proportional to 855.40, 1,180.10 and 523.58 is: 722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.40 : 1,180.10 = 523.58 : x
  2. Step 2: Convert to fraction form
    855.40/1,180.10 = 523.58/x
  3. Step 3: Cross multiply
    855.40x = 1,180.10 × 523.58
  4. Step 4: Simplify right side
    855.40x = 617,876.76
  5. Step 5: Solve for x
    x = 617,876.76/855.40
  6. Step 6: Final answer
    x = 722.32

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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.