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Finding the Fourth Proportional to 448.50, 619.13 and 315.84

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Solution

The fourth proportional to 448.50, 619.13 and 315.84 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.50 : 619.13 = 315.84 : x
  2. Step 2: Convert to fraction form
    448.50/619.13 = 315.84/x
  3. Step 3: Cross multiply
    448.50x = 619.13 × 315.84
  4. Step 4: Simplify right side
    448.50x = 195,546.02
  5. Step 5: Solve for x
    x = 195,546.02/448.50
  6. Step 6: Final answer
    x = 436.00

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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.