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Finding the Fourth Proportional to 465.40, 692.78 and 458.48

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Solution

The fourth proportional to 465.40, 692.78 and 458.48 is: 682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 692.78 = 458.48 : x
  2. Step 2: Convert to fraction form
    465.40/692.78 = 458.48/x
  3. Step 3: Cross multiply
    465.40x = 692.78 × 458.48
  4. Step 4: Simplify right side
    465.40x = 317,625.77
  5. Step 5: Solve for x
    x = 317,625.77/465.40
  6. Step 6: Final answer
    x = 682.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.