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Finding the Fourth Proportional to 1,007.64, 1,511.61 and 314.37

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Solution

The fourth proportional to 1,007.64, 1,511.61 and 314.37 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.64 : 1,511.61 = 314.37 : x
  2. Step 2: Convert to fraction form
    1,007.64/1,511.61 = 314.37/x
  3. Step 3: Cross multiply
    1,007.64x = 1,511.61 × 314.37
  4. Step 4: Simplify right side
    1,007.64x = 475,204.84
  5. Step 5: Solve for x
    x = 475,204.84/1,007.64
  6. Step 6: Final answer
    x = 471.60

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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.