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Finding the Fourth Proportional to 448.80, 615.90 and 412.08

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Solution

The fourth proportional to 448.80, 615.90 and 412.08 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.80 : 615.90 = 412.08 : x
  2. Step 2: Convert to fraction form
    448.80/615.90 = 412.08/x
  3. Step 3: Cross multiply
    448.80x = 615.90 × 412.08
  4. Step 4: Simplify right side
    448.80x = 253,800.07
  5. Step 5: Solve for x
    x = 253,800.07/448.80
  6. Step 6: Final answer
    x = 565.51

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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.