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Finding the Fourth Proportional to 1,012.90, 1,508.70 and 965.50

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Solution

The fourth proportional to 1,012.90, 1,508.70 and 965.50 is: 1,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.90 : 1,508.70 = 965.50 : x
  2. Step 2: Convert to fraction form
    1,012.90/1,508.70 = 965.50/x
  3. Step 3: Cross multiply
    1,012.90x = 1,508.70 × 965.50
  4. Step 4: Simplify right side
    1,012.90x = 1,456,649.85
  5. Step 5: Solve for x
    x = 1,456,649.85/1,012.90
  6. Step 6: Final answer
    x = 1,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.