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Finding the Fourth Proportional to 651.35, 899.17 and 402.81

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Solution

The fourth proportional to 651.35, 899.17 and 402.81 is: 556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.35 : 899.17 = 402.81 : x
  2. Step 2: Convert to fraction form
    651.35/899.17 = 402.81/x
  3. Step 3: Cross multiply
    651.35x = 899.17 × 402.81
  4. Step 4: Simplify right side
    651.35x = 362,194.67
  5. Step 5: Solve for x
    x = 362,194.67/651.35
  6. Step 6: Final answer
    x = 556.07

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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.