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Finding the Fourth Proportional to 985.56, 1,359 and 788.64

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Solution

The fourth proportional to 985.56, 1,359 and 788.64 is: 1,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.56 : 1,359 = 788.64 : x
  2. Step 2: Convert to fraction form
    985.56/1,359 = 788.64/x
  3. Step 3: Cross multiply
    985.56x = 1,359 × 788.64
  4. Step 4: Simplify right side
    985.56x = 1,071,761.76
  5. Step 5: Solve for x
    x = 1,071,761.76/985.56
  6. Step 6: Final answer
    x = 1,087.46

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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.