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Finding the Fourth Proportional to 651.72, 899.11 and 402.60

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Solution

The fourth proportional to 651.72, 899.11 and 402.60 is: 555.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.72 : 899.11 = 402.60 : x
  2. Step 2: Convert to fraction form
    651.72/899.11 = 402.60/x
  3. Step 3: Cross multiply
    651.72x = 899.11 × 402.60
  4. Step 4: Simplify right side
    651.72x = 361,981.69
  5. Step 5: Solve for x
    x = 361,981.69/651.72
  6. Step 6: Final answer
    x = 555.43

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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.