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Finding the Fourth Proportional to 1,313.05, 1,810.05 and 840.88

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Solution

The fourth proportional to 1,313.05, 1,810.05 and 840.88 is: 1,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.05 : 1,810.05 = 840.88 : x
  2. Step 2: Convert to fraction form
    1,313.05/1,810.05 = 840.88/x
  3. Step 3: Cross multiply
    1,313.05x = 1,810.05 × 840.88
  4. Step 4: Simplify right side
    1,313.05x = 1,522,034.84
  5. Step 5: Solve for x
    x = 1,522,034.84/1,313.05
  6. Step 6: Final answer
    x = 1,159.16

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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.