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Finding the Fourth Proportional to 651.81, 899.52 and 357.09

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Solution

The fourth proportional to 651.81, 899.52 and 357.09 is: 492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.81 : 899.52 = 357.09 : x
  2. Step 2: Convert to fraction form
    651.81/899.52 = 357.09/x
  3. Step 3: Cross multiply
    651.81x = 899.52 × 357.09
  4. Step 4: Simplify right side
    651.81x = 321,209.60
  5. Step 5: Solve for x
    x = 321,209.60/651.81
  6. Step 6: Final answer
    x = 492.80

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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.