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Finding the Fourth Proportional to 554.12, 829.69 and 293.58

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Solution

The fourth proportional to 554.12, 829.69 and 293.58 is: 439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.12 : 829.69 = 293.58 : x
  2. Step 2: Convert to fraction form
    554.12/829.69 = 293.58/x
  3. Step 3: Cross multiply
    554.12x = 829.69 × 293.58
  4. Step 4: Simplify right side
    554.12x = 243,580.39
  5. Step 5: Solve for x
    x = 243,580.39/554.12
  6. Step 6: Final answer
    x = 439.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.