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Finding the Fourth Proportional to 1,416.83, 1,955.25 and 857.21

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Solution

The fourth proportional to 1,416.83, 1,955.25 and 857.21 is: 1,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.83 : 1,955.25 = 857.21 : x
  2. Step 2: Convert to fraction form
    1,416.83/1,955.25 = 857.21/x
  3. Step 3: Cross multiply
    1,416.83x = 1,955.25 × 857.21
  4. Step 4: Simplify right side
    1,416.83x = 1,676,050.08
  5. Step 5: Solve for x
    x = 1,676,050.08/1,416.83
  6. Step 6: Final answer
    x = 1,182.96

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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.