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Finding the Fourth Proportional to 1,309.42, 1,964.72 and 651.95

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Solution

The fourth proportional to 1,309.42, 1,964.72 and 651.95 is: 978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.42 : 1,964.72 = 651.95 : x
  2. Step 2: Convert to fraction form
    1,309.42/1,964.72 = 651.95/x
  3. Step 3: Cross multiply
    1,309.42x = 1,964.72 × 651.95
  4. Step 4: Simplify right side
    1,309.42x = 1,280,905.76
  5. Step 5: Solve for x
    x = 1,280,905.76/1,309.42
  6. Step 6: Final answer
    x = 978.22

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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.