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Finding the Fourth Proportional to 554.33, 765.71 and 424.94

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Solution

The fourth proportional to 554.33, 765.71 and 424.94 is: 586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.33 : 765.71 = 424.94 : x
  2. Step 2: Convert to fraction form
    554.33/765.71 = 424.94/x
  3. Step 3: Cross multiply
    554.33x = 765.71 × 424.94
  4. Step 4: Simplify right side
    554.33x = 325,374.85
  5. Step 5: Solve for x
    x = 325,374.85/554.33
  6. Step 6: Final answer
    x = 586.97

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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.