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Finding the Fourth Proportional to 1,309.15, 1,962.96 and 651.00

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Solution

The fourth proportional to 1,309.15, 1,962.96 and 651.00 is: 976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.15 : 1,962.96 = 651.00 : x
  2. Step 2: Convert to fraction form
    1,309.15/1,962.96 = 651.00/x
  3. Step 3: Cross multiply
    1,309.15x = 1,962.96 × 651.00
  4. Step 4: Simplify right side
    1,309.15x = 1,277,893.71
  5. Step 5: Solve for x
    x = 1,277,893.71/1,309.15
  6. Step 6: Final answer
    x = 976.12

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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.