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Finding the Fourth Proportional to 677.06, 933.25 and 455.94

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Solution

The fourth proportional to 677.06, 933.25 and 455.94 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 933.25 = 455.94 : x
  2. Step 2: Convert to fraction form
    677.06/933.25 = 455.94/x
  3. Step 3: Cross multiply
    677.06x = 933.25 × 455.94
  4. Step 4: Simplify right side
    677.06x = 425,506.01
  5. Step 5: Solve for x
    x = 425,506.01/677.06
  6. Step 6: Final answer
    x = 628.46

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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.