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Finding the Fourth Proportional to 651.78, 899.45 and 357.05

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Solution

The fourth proportional to 651.78, 899.45 and 357.05 is: 492.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 899.45 = 357.05 : x
  2. Step 2: Convert to fraction form
    651.78/899.45 = 357.05/x
  3. Step 3: Cross multiply
    651.78x = 899.45 × 357.05
  4. Step 4: Simplify right side
    651.78x = 321,142.34
  5. Step 5: Solve for x
    x = 321,142.34/651.78
  6. Step 6: Final answer
    x = 492.72

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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.