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Finding the Fourth Proportional to 458.75, 683.70 and 454.92

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Solution

The fourth proportional to 458.75, 683.70 and 454.92 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 683.70 = 454.92 : x
  2. Step 2: Convert to fraction form
    458.75/683.70 = 454.92/x
  3. Step 3: Cross multiply
    458.75x = 683.70 × 454.92
  4. Step 4: Simplify right side
    458.75x = 311,028.80
  5. Step 5: Solve for x
    x = 311,028.80/458.75
  6. Step 6: Final answer
    x = 678.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.