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Finding the Fourth Proportional to 853.68, 1,178.76 and 788.16

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Solution

The fourth proportional to 853.68, 1,178.76 and 788.16 is: 1,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.68 : 1,178.76 = 788.16 : x
  2. Step 2: Convert to fraction form
    853.68/1,178.76 = 788.16/x
  3. Step 3: Cross multiply
    853.68x = 1,178.76 × 788.16
  4. Step 4: Simplify right side
    853.68x = 929,051.48
  5. Step 5: Solve for x
    x = 929,051.48/853.68
  6. Step 6: Final answer
    x = 1,088.29

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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.