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Finding the Fourth Proportional to 1,314.77, 1,972.35 and 448.88

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Solution

The fourth proportional to 1,314.77, 1,972.35 and 448.88 is: 673.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.77 : 1,972.35 = 448.88 : x
  2. Step 2: Convert to fraction form
    1,314.77/1,972.35 = 448.88/x
  3. Step 3: Cross multiply
    1,314.77x = 1,972.35 × 448.88
  4. Step 4: Simplify right side
    1,314.77x = 885,338.61
  5. Step 5: Solve for x
    x = 885,338.61/1,314.77
  6. Step 6: Final answer
    x = 673.38

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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.