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Finding the Fourth Proportional to 554.32, 829.42 and 347.93

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Solution

The fourth proportional to 554.32, 829.42 and 347.93 is: 520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.32 : 829.42 = 347.93 : x
  2. Step 2: Convert to fraction form
    554.32/829.42 = 347.93/x
  3. Step 3: Cross multiply
    554.32x = 829.42 × 347.93
  4. Step 4: Simplify right side
    554.32x = 288,577.26
  5. Step 5: Solve for x
    x = 288,577.26/554.32
  6. Step 6: Final answer
    x = 520.59

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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.