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Finding the Fourth Proportional to 907.81, 1,358.39 and 776.14

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Solution

The fourth proportional to 907.81, 1,358.39 and 776.14 is: 1,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.81 : 1,358.39 = 776.14 : x
  2. Step 2: Convert to fraction form
    907.81/1,358.39 = 776.14/x
  3. Step 3: Cross multiply
    907.81x = 1,358.39 × 776.14
  4. Step 4: Simplify right side
    907.81x = 1,054,299.36
  5. Step 5: Solve for x
    x = 1,054,299.36/907.81
  6. Step 6: Final answer
    x = 1,161.37

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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.