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Finding the Fourth Proportional to 448.59, 619.07 and 259.63

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Solution

The fourth proportional to 448.59, 619.07 and 259.63 is: 358.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.59 : 619.07 = 259.63 : x
  2. Step 2: Convert to fraction form
    448.59/619.07 = 259.63/x
  3. Step 3: Cross multiply
    448.59x = 619.07 × 259.63
  4. Step 4: Simplify right side
    448.59x = 160,728.77
  5. Step 5: Solve for x
    x = 160,728.77/448.59
  6. Step 6: Final answer
    x = 358.30

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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.