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Finding the Fourth Proportional to 554.54, 831.21 and 417.17

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Solution

The fourth proportional to 554.54, 831.21 and 417.17 is: 625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.54 : 831.21 = 417.17 : x
  2. Step 2: Convert to fraction form
    554.54/831.21 = 417.17/x
  3. Step 3: Cross multiply
    554.54x = 831.21 × 417.17
  4. Step 4: Simplify right side
    554.54x = 346,751.72
  5. Step 5: Solve for x
    x = 346,751.72/554.54
  6. Step 6: Final answer
    x = 625.30

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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.