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Finding the Fourth Proportional to 461.78, 692.93 and 458.34

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Solution

The fourth proportional to 461.78, 692.93 and 458.34 is: 687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.78 : 692.93 = 458.34 : x
  2. Step 2: Convert to fraction form
    461.78/692.93 = 458.34/x
  3. Step 3: Cross multiply
    461.78x = 692.93 × 458.34
  4. Step 4: Simplify right side
    461.78x = 317,597.54
  5. Step 5: Solve for x
    x = 317,597.54/461.78
  6. Step 6: Final answer
    x = 687.77

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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.