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Finding the Fourth Proportional to 1,300, 1,945.14 and 810.76

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Solution

The fourth proportional to 1,300, 1,945.14 and 810.76 is: 1,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300 : 1,945.14 = 810.76 : x
  2. Step 2: Convert to fraction form
    1,300/1,945.14 = 810.76/x
  3. Step 3: Cross multiply
    1,300x = 1,945.14 × 810.76
  4. Step 4: Simplify right side
    1,300x = 1,577,041.71
  5. Step 5: Solve for x
    x = 1,577,041.71/1,300
  6. Step 6: Final answer
    x = 1,213.11

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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.