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Finding the Fourth Proportional to 1,005.97, 1,509.02 and 312.54

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Solution

The fourth proportional to 1,005.97, 1,509.02 and 312.54 is: 468.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.97 : 1,509.02 = 312.54 : x
  2. Step 2: Convert to fraction form
    1,005.97/1,509.02 = 312.54/x
  3. Step 3: Cross multiply
    1,005.97x = 1,509.02 × 312.54
  4. Step 4: Simplify right side
    1,005.97x = 471,627.55
  5. Step 5: Solve for x
    x = 471,627.55/1,005.97
  6. Step 6: Final answer
    x = 468.83

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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.