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Finding the Fourth Proportional to 1,309.84, 1,807.59 and 720.38

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Solution

The fourth proportional to 1,309.84, 1,807.59 and 720.38 is: 994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.84 : 1,807.59 = 720.38 : x
  2. Step 2: Convert to fraction form
    1,309.84/1,807.59 = 720.38/x
  3. Step 3: Cross multiply
    1,309.84x = 1,807.59 × 720.38
  4. Step 4: Simplify right side
    1,309.84x = 1,302,140.85
  5. Step 5: Solve for x
    x = 1,302,140.85/1,309.84
  6. Step 6: Final answer
    x = 994.13

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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.