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Finding the Fourth Proportional to 991.10, 1,370.32 and 975.51

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Solution

The fourth proportional to 991.10, 1,370.32 and 975.51 is: 1,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.10 : 1,370.32 = 975.51 : x
  2. Step 2: Convert to fraction form
    991.10/1,370.32 = 975.51/x
  3. Step 3: Cross multiply
    991.10x = 1,370.32 × 975.51
  4. Step 4: Simplify right side
    991.10x = 1,336,758.42
  5. Step 5: Solve for x
    x = 1,336,758.42/991.10
  6. Step 6: Final answer
    x = 1,348.76

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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.