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Finding the Fourth Proportional to 1,416.99, 1,955.60 and 857.77

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Solution

The fourth proportional to 1,416.99, 1,955.60 and 857.77 is: 1,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.99 : 1,955.60 = 857.77 : x
  2. Step 2: Convert to fraction form
    1,416.99/1,955.60 = 857.77/x
  3. Step 3: Cross multiply
    1,416.99x = 1,955.60 × 857.77
  4. Step 4: Simplify right side
    1,416.99x = 1,677,455.01
  5. Step 5: Solve for x
    x = 1,677,455.01/1,416.99
  6. Step 6: Final answer
    x = 1,183.82

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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.