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Finding the Fourth Proportional to 650.40, 899.28 and 568.42

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Solution

The fourth proportional to 650.40, 899.28 and 568.42 is: 785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.40 : 899.28 = 568.42 : x
  2. Step 2: Convert to fraction form
    650.40/899.28 = 568.42/x
  3. Step 3: Cross multiply
    650.40x = 899.28 × 568.42
  4. Step 4: Simplify right side
    650.40x = 511,168.74
  5. Step 5: Solve for x
    x = 511,168.74/650.40
  6. Step 6: Final answer
    x = 785.93

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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.