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Finding the Fourth Proportional to 923.60, 1,385.40 and 461.94

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Solution

The fourth proportional to 923.60, 1,385.40 and 461.94 is: 692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.60 : 1,385.40 = 461.94 : x
  2. Step 2: Convert to fraction form
    923.60/1,385.40 = 461.94/x
  3. Step 3: Cross multiply
    923.60x = 1,385.40 × 461.94
  4. Step 4: Simplify right side
    923.60x = 639,971.68
  5. Step 5: Solve for x
    x = 639,971.68/923.60
  6. Step 6: Final answer
    x = 692.91

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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.