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Finding the Fourth Proportional to 991.78, 1,359.96 and 957.02

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Solution

The fourth proportional to 991.78, 1,359.96 and 957.02 is: 1,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.78 : 1,359.96 = 957.02 : x
  2. Step 2: Convert to fraction form
    991.78/1,359.96 = 957.02/x
  3. Step 3: Cross multiply
    991.78x = 1,359.96 × 957.02
  4. Step 4: Simplify right side
    991.78x = 1,301,498.53
  5. Step 5: Solve for x
    x = 1,301,498.53/991.78
  6. Step 6: Final answer
    x = 1,312.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.