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Finding the Fourth Proportional to 677.42, 933.69 and 478.29

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Solution

The fourth proportional to 677.42, 933.69 and 478.29 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.42 : 933.69 = 478.29 : x
  2. Step 2: Convert to fraction form
    677.42/933.69 = 478.29/x
  3. Step 3: Cross multiply
    677.42x = 933.69 × 478.29
  4. Step 4: Simplify right side
    677.42x = 446,574.59
  5. Step 5: Solve for x
    x = 446,574.59/677.42
  6. Step 6: Final answer
    x = 659.23

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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.