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Finding the Fourth Proportional to 648.56, 895.99 and 425.03

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Solution

The fourth proportional to 648.56, 895.99 and 425.03 is: 587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.56 : 895.99 = 425.03 : x
  2. Step 2: Convert to fraction form
    648.56/895.99 = 425.03/x
  3. Step 3: Cross multiply
    648.56x = 895.99 × 425.03
  4. Step 4: Simplify right side
    648.56x = 380,820.69
  5. Step 5: Solve for x
    x = 380,820.69/648.56
  6. Step 6: Final answer
    x = 587.18

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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.