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Finding the Fourth Proportional to 622.40, 933.90 and 476.10

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Solution

The fourth proportional to 622.40, 933.90 and 476.10 is: 714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.40 : 933.90 = 476.10 : x
  2. Step 2: Convert to fraction form
    622.40/933.90 = 476.10/x
  3. Step 3: Cross multiply
    622.40x = 933.90 × 476.10
  4. Step 4: Simplify right side
    622.40x = 444,629.79
  5. Step 5: Solve for x
    x = 444,629.79/622.40
  6. Step 6: Final answer
    x = 714.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.