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Finding the Fourth Proportional to 1,309.91, 1,807.69 and 720.46

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Solution

The fourth proportional to 1,309.91, 1,807.69 and 720.46 is: 994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.91 : 1,807.69 = 720.46 : x
  2. Step 2: Convert to fraction form
    1,309.91/1,807.69 = 720.46/x
  3. Step 3: Cross multiply
    1,309.91x = 1,807.69 × 720.46
  4. Step 4: Simplify right side
    1,309.91x = 1,302,368.34
  5. Step 5: Solve for x
    x = 1,302,368.34/1,309.91
  6. Step 6: Final answer
    x = 994.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.