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Finding the Fourth Proportional to 448.80, 618.28 and 420.96

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Solution

The fourth proportional to 448.80, 618.28 and 420.96 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.80 : 618.28 = 420.96 : x
  2. Step 2: Convert to fraction form
    448.80/618.28 = 420.96/x
  3. Step 3: Cross multiply
    448.80x = 618.28 × 420.96
  4. Step 4: Simplify right side
    448.80x = 260,271.15
  5. Step 5: Solve for x
    x = 260,271.15/448.80
  6. Step 6: Final answer
    x = 579.93

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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.