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Finding the Fourth Proportional to 1,004.16, 1,505.92 and 320

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Solution

The fourth proportional to 1,004.16, 1,505.92 and 320 is: 479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,505.92 = 320 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,505.92 = 320/x
  3. Step 3: Cross multiply
    1,004.16x = 1,505.92 × 320
  4. Step 4: Simplify right side
    1,004.16x = 481,894.40
  5. Step 5: Solve for x
    x = 481,894.40/1,004.16
  6. Step 6: Final answer
    x = 479.90

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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.