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Finding the Fourth Proportional to 458.10, 681.98 and 455.40

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Solution

The fourth proportional to 458.10, 681.98 and 455.40 is: 677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 681.98 = 455.40 : x
  2. Step 2: Convert to fraction form
    458.10/681.98 = 455.40/x
  3. Step 3: Cross multiply
    458.10x = 681.98 × 455.40
  4. Step 4: Simplify right side
    458.10x = 310,571.42
  5. Step 5: Solve for x
    x = 310,571.42/458.10
  6. Step 6: Final answer
    x = 677.96

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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.