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Finding the Fourth Proportional to 554.01, 831.41 and 417.42

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Solution

The fourth proportional to 554.01, 831.41 and 417.42 is: 626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.01 : 831.41 = 417.42 : x
  2. Step 2: Convert to fraction form
    554.01/831.41 = 417.42/x
  3. Step 3: Cross multiply
    554.01x = 831.41 × 417.42
  4. Step 4: Simplify right side
    554.01x = 347,047.16
  5. Step 5: Solve for x
    x = 347,047.16/554.01
  6. Step 6: Final answer
    x = 626.43

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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.