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Finding the Fourth Proportional to 1,300.23, 1,794.35 and 776.57

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Solution

The fourth proportional to 1,300.23, 1,794.35 and 776.57 is: 1,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.23 : 1,794.35 = 776.57 : x
  2. Step 2: Convert to fraction form
    1,300.23/1,794.35 = 776.57/x
  3. Step 3: Cross multiply
    1,300.23x = 1,794.35 × 776.57
  4. Step 4: Simplify right side
    1,300.23x = 1,393,431.35
  5. Step 5: Solve for x
    x = 1,393,431.35/1,300.23
  6. Step 6: Final answer
    x = 1,071.68

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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.