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Finding the Fourth Proportional to 448.08, 614.83 and 435.84

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Solution

The fourth proportional to 448.08, 614.83 and 435.84 is: 598.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 614.83 = 435.84 : x
  2. Step 2: Convert to fraction form
    448.08/614.83 = 435.84/x
  3. Step 3: Cross multiply
    448.08x = 614.83 × 435.84
  4. Step 4: Simplify right side
    448.08x = 267,965.33
  5. Step 5: Solve for x
    x = 267,965.33/448.08
  6. Step 6: Final answer
    x = 598.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.