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Finding the Fourth Proportional to 1,300.34, 1,950.24 and 651.26

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Solution

The fourth proportional to 1,300.34, 1,950.24 and 651.26 is: 976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.34 : 1,950.24 = 651.26 : x
  2. Step 2: Convert to fraction form
    1,300.34/1,950.24 = 651.26/x
  3. Step 3: Cross multiply
    1,300.34x = 1,950.24 × 651.26
  4. Step 4: Simplify right side
    1,300.34x = 1,270,113.30
  5. Step 5: Solve for x
    x = 1,270,113.30/1,300.34
  6. Step 6: Final answer
    x = 976.75

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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.