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Finding the Fourth Proportional to 923.10, 1,384.38 and 345.84

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Solution

The fourth proportional to 923.10, 1,384.38 and 345.84 is: 518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.10 : 1,384.38 = 345.84 : x
  2. Step 2: Convert to fraction form
    923.10/1,384.38 = 345.84/x
  3. Step 3: Cross multiply
    923.10x = 1,384.38 × 345.84
  4. Step 4: Simplify right side
    923.10x = 478,773.98
  5. Step 5: Solve for x
    x = 478,773.98/923.10
  6. Step 6: Final answer
    x = 518.66

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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.