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Finding the Fourth Proportional to 842.84, 1,164.34 and 623

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Solution

The fourth proportional to 842.84, 1,164.34 and 623 is: 860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,164.34 = 623 : x
  2. Step 2: Convert to fraction form
    842.84/1,164.34 = 623/x
  3. Step 3: Cross multiply
    842.84x = 1,164.34 × 623
  4. Step 4: Simplify right side
    842.84x = 725,383.82
  5. Step 5: Solve for x
    x = 725,383.82/842.84
  6. Step 6: Final answer
    x = 860.64

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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.