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Finding the Fourth Proportional to 1,310.49, 1,807.65 and 786.42

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Solution

The fourth proportional to 1,310.49, 1,807.65 and 786.42 is: 1,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.49 : 1,807.65 = 786.42 : x
  2. Step 2: Convert to fraction form
    1,310.49/1,807.65 = 786.42/x
  3. Step 3: Cross multiply
    1,310.49x = 1,807.65 × 786.42
  4. Step 4: Simplify right side
    1,310.49x = 1,421,572.11
  5. Step 5: Solve for x
    x = 1,421,572.11/1,310.49
  6. Step 6: Final answer
    x = 1,084.76

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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.