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Finding the Fourth Proportional to 652.00, 899.71 and 357.26

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Solution

The fourth proportional to 652.00, 899.71 and 357.26 is: 492.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.00 : 899.71 = 357.26 : x
  2. Step 2: Convert to fraction form
    652.00/899.71 = 357.26/x
  3. Step 3: Cross multiply
    652.00x = 899.71 × 357.26
  4. Step 4: Simplify right side
    652.00x = 321,425.00
  5. Step 5: Solve for x
    x = 321,425.00/652.00
  6. Step 6: Final answer
    x = 492.99

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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.