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Finding the Fourth Proportional to 652.83, 899.39 and 455.99

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Solution

The fourth proportional to 652.83, 899.39 and 455.99 is: 628.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.83 : 899.39 = 455.99 : x
  2. Step 2: Convert to fraction form
    652.83/899.39 = 455.99/x
  3. Step 3: Cross multiply
    652.83x = 899.39 × 455.99
  4. Step 4: Simplify right side
    652.83x = 410,110.57
  5. Step 5: Solve for x
    x = 410,110.57/652.83
  6. Step 6: Final answer
    x = 628.20

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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.