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Finding the Fourth Proportional to 651.40, 899.96 and 599.56

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Solution

The fourth proportional to 651.40, 899.96 and 599.56 is: 828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.40 : 899.96 = 599.56 : x
  2. Step 2: Convert to fraction form
    651.40/899.96 = 599.56/x
  3. Step 3: Cross multiply
    651.40x = 899.96 × 599.56
  4. Step 4: Simplify right side
    651.40x = 539,580.02
  5. Step 5: Solve for x
    x = 539,580.02/651.40
  6. Step 6: Final answer
    x = 828.34

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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.