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Finding the Fourth Proportional to 445.59, 671.65 and 427.06

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Solution

The fourth proportional to 445.59, 671.65 and 427.06 is: 643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.59 : 671.65 = 427.06 : x
  2. Step 2: Convert to fraction form
    445.59/671.65 = 427.06/x
  3. Step 3: Cross multiply
    445.59x = 671.65 × 427.06
  4. Step 4: Simplify right side
    445.59x = 286,834.85
  5. Step 5: Solve for x
    x = 286,834.85/445.59
  6. Step 6: Final answer
    x = 643.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.