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Finding the Fourth Proportional to 622.14, 931.18 and 457.57

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Solution

The fourth proportional to 622.14, 931.18 and 457.57 is: 684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.14 : 931.18 = 457.57 : x
  2. Step 2: Convert to fraction form
    622.14/931.18 = 457.57/x
  3. Step 3: Cross multiply
    622.14x = 931.18 × 457.57
  4. Step 4: Simplify right side
    622.14x = 426,075.38
  5. Step 5: Solve for x
    x = 426,075.38/622.14
  6. Step 6: Final answer
    x = 684.85

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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.