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Finding the Fourth Proportional to 1,012.35, 1,515.81 and 646.05

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Solution

The fourth proportional to 1,012.35, 1,515.81 and 646.05 is: 967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.35 : 1,515.81 = 646.05 : x
  2. Step 2: Convert to fraction form
    1,012.35/1,515.81 = 646.05/x
  3. Step 3: Cross multiply
    1,012.35x = 1,515.81 × 646.05
  4. Step 4: Simplify right side
    1,012.35x = 979,289.05
  5. Step 5: Solve for x
    x = 979,289.05/1,012.35
  6. Step 6: Final answer
    x = 967.34

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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.