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Finding the Fourth Proportional to 670, 1,004.38 and 259.12

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Solution

The fourth proportional to 670, 1,004.38 and 259.12 is: 388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    670 : 1,004.38 = 259.12 : x
  2. Step 2: Convert to fraction form
    670/1,004.38 = 259.12/x
  3. Step 3: Cross multiply
    670x = 1,004.38 × 259.12
  4. Step 4: Simplify right side
    670x = 260,254.95
  5. Step 5: Solve for x
    x = 260,254.95/670
  6. Step 6: Final answer
    x = 388.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.