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Finding the Fourth Proportional to 645.58, 891.13 and 383.59

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Solution

The fourth proportional to 645.58, 891.13 and 383.59 is: 529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.58 : 891.13 = 383.59 : x
  2. Step 2: Convert to fraction form
    645.58/891.13 = 383.59/x
  3. Step 3: Cross multiply
    645.58x = 891.13 × 383.59
  4. Step 4: Simplify right side
    645.58x = 341,828.56
  5. Step 5: Solve for x
    x = 341,828.56/645.58
  6. Step 6: Final answer
    x = 529.49

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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.