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Finding the Fourth Proportional to 622.80, 858.96 and 448.32

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Solution

The fourth proportional to 622.80, 858.96 and 448.32 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 858.96 = 448.32 : x
  2. Step 2: Convert to fraction form
    622.80/858.96 = 448.32/x
  3. Step 3: Cross multiply
    622.80x = 858.96 × 448.32
  4. Step 4: Simplify right side
    622.80x = 385,088.95
  5. Step 5: Solve for x
    x = 385,088.95/622.80
  6. Step 6: Final answer
    x = 618.32

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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.