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Finding the Fourth Proportional to 1,052.69, 1,578.67 and 312.08

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Solution

The fourth proportional to 1,052.69, 1,578.67 and 312.08 is: 468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.69 : 1,578.67 = 312.08 : x
  2. Step 2: Convert to fraction form
    1,052.69/1,578.67 = 312.08/x
  3. Step 3: Cross multiply
    1,052.69x = 1,578.67 × 312.08
  4. Step 4: Simplify right side
    1,052.69x = 492,671.33
  5. Step 5: Solve for x
    x = 492,671.33/1,052.69
  6. Step 6: Final answer
    x = 468.01

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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.