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Finding the Fourth Proportional to 603.54, 828.68 and 509.90

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Solution

The fourth proportional to 603.54, 828.68 and 509.90 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.54 : 828.68 = 509.90 : x
  2. Step 2: Convert to fraction form
    603.54/828.68 = 509.90/x
  3. Step 3: Cross multiply
    603.54x = 828.68 × 509.90
  4. Step 4: Simplify right side
    603.54x = 422,537.24
  5. Step 5: Solve for x
    x = 422,537.24/603.54
  6. Step 6: Final answer
    x = 700.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.