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Finding the Fourth Proportional to 1,309.98, 1,964.31 and 578.70

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Solution

The fourth proportional to 1,309.98, 1,964.31 and 578.70 is: 867.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.98 : 1,964.31 = 578.70 : x
  2. Step 2: Convert to fraction form
    1,309.98/1,964.31 = 578.70/x
  3. Step 3: Cross multiply
    1,309.98x = 1,964.31 × 578.70
  4. Step 4: Simplify right side
    1,309.98x = 1,136,746.20
  5. Step 5: Solve for x
    x = 1,136,746.20/1,309.98
  6. Step 6: Final answer
    x = 867.76

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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.