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Finding the Fourth Proportional to 554.84, 831.99 and 392.84

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Solution

The fourth proportional to 554.84, 831.99 and 392.84 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.84 : 831.99 = 392.84 : x
  2. Step 2: Convert to fraction form
    554.84/831.99 = 392.84/x
  3. Step 3: Cross multiply
    554.84x = 831.99 × 392.84
  4. Step 4: Simplify right side
    554.84x = 326,838.95
  5. Step 5: Solve for x
    x = 326,838.95/554.84
  6. Step 6: Final answer
    x = 589.07

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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.