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Finding the Fourth Proportional to 814.90, 1,219.86 and 448.58

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Solution

The fourth proportional to 814.90, 1,219.86 and 448.58 is: 671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,219.86 = 448.58 : x
  2. Step 2: Convert to fraction form
    814.90/1,219.86 = 448.58/x
  3. Step 3: Cross multiply
    814.90x = 1,219.86 × 448.58
  4. Step 4: Simplify right side
    814.90x = 547,204.80
  5. Step 5: Solve for x
    x = 547,204.80/814.90
  6. Step 6: Final answer
    x = 671.50

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1.5x scale

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.