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Finding the Fourth Proportional to 427.64, 587.90 and 425.00

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Solution

The fourth proportional to 427.64, 587.90 and 425.00 is: 584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 587.90 = 425.00 : x
  2. Step 2: Convert to fraction form
    427.64/587.90 = 425.00/x
  3. Step 3: Cross multiply
    427.64x = 587.90 × 425.00
  4. Step 4: Simplify right side
    427.64x = 249,856.84
  5. Step 5: Solve for x
    x = 249,856.84/427.64
  6. Step 6: Final answer
    x = 584.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.