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Finding the Fourth Proportional to 904.25, 1,356.68 and 384.23

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Solution

The fourth proportional to 904.25, 1,356.68 and 384.23 is: 576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.25 : 1,356.68 = 384.23 : x
  2. Step 2: Convert to fraction form
    904.25/1,356.68 = 384.23/x
  3. Step 3: Cross multiply
    904.25x = 1,356.68 × 384.23
  4. Step 4: Simplify right side
    904.25x = 521,268.45
  5. Step 5: Solve for x
    x = 521,268.45/904.25
  6. Step 6: Final answer
    x = 576.47

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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.