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Finding the Fourth Proportional to 554.99, 831.90 and 280.47

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Solution

The fourth proportional to 554.99, 831.90 and 280.47 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.99 : 831.90 = 280.47 : x
  2. Step 2: Convert to fraction form
    554.99/831.90 = 280.47/x
  3. Step 3: Cross multiply
    554.99x = 831.90 × 280.47
  4. Step 4: Simplify right side
    554.99x = 233,322.99
  5. Step 5: Solve for x
    x = 233,322.99/554.99
  6. Step 6: Final answer
    x = 420.41

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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.