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Finding the Fourth Proportional to 650.88, 899.19 and 427.35

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Solution

The fourth proportional to 650.88, 899.19 and 427.35 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.88 : 899.19 = 427.35 : x
  2. Step 2: Convert to fraction form
    650.88/899.19 = 427.35/x
  3. Step 3: Cross multiply
    650.88x = 899.19 × 427.35
  4. Step 4: Simplify right side
    650.88x = 384,264.35
  5. Step 5: Solve for x
    x = 384,264.35/650.88
  6. Step 6: Final answer
    x = 590.38

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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.