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Finding the Fourth Proportional to 1,314.93, 1,971.06 and 853.00

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Solution

The fourth proportional to 1,314.93, 1,971.06 and 853.00 is: 1,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.93 : 1,971.06 = 853.00 : x
  2. Step 2: Convert to fraction form
    1,314.93/1,971.06 = 853.00/x
  3. Step 3: Cross multiply
    1,314.93x = 1,971.06 × 853.00
  4. Step 4: Simplify right side
    1,314.93x = 1,681,319.11
  5. Step 5: Solve for x
    x = 1,681,319.11/1,314.93
  6. Step 6: Final answer
    x = 1,278.64

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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.