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Finding the Fourth Proportional to 904.49, 1,356.92 and 384.49

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Solution

The fourth proportional to 904.49, 1,356.92 and 384.49 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.49 : 1,356.92 = 384.49 : x
  2. Step 2: Convert to fraction form
    904.49/1,356.92 = 384.49/x
  3. Step 3: Cross multiply
    904.49x = 1,356.92 × 384.49
  4. Step 4: Simplify right side
    904.49x = 521,722.17
  5. Step 5: Solve for x
    x = 521,722.17/904.49
  6. Step 6: Final answer
    x = 576.81

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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.