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Finding the Fourth Proportional to 904.46, 1,356.93 and 384.48

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Solution

The fourth proportional to 904.46, 1,356.93 and 384.48 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.46 : 1,356.93 = 384.48 : x
  2. Step 2: Convert to fraction form
    904.46/1,356.93 = 384.48/x
  3. Step 3: Cross multiply
    904.46x = 1,356.93 × 384.48
  4. Step 4: Simplify right side
    904.46x = 521,712.45
  5. Step 5: Solve for x
    x = 521,712.45/904.46
  6. Step 6: Final answer
    x = 576.82

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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.