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Finding the Fourth Proportional to 893.80, 1,233.40 and 490

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Solution

The fourth proportional to 893.80, 1,233.40 and 490 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.80 : 1,233.40 = 490 : x
  2. Step 2: Convert to fraction form
    893.80/1,233.40 = 490/x
  3. Step 3: Cross multiply
    893.80x = 1,233.40 × 490
  4. Step 4: Simplify right side
    893.80x = 604,363.55
  5. Step 5: Solve for x
    x = 604,363.55/893.80
  6. Step 6: Final answer
    x = 676.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.