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Finding the Fourth Proportional to 1,034.71, 1,427.36 and 703.35

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Solution

The fourth proportional to 1,034.71, 1,427.36 and 703.35 is: 970.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.71 : 1,427.36 = 703.35 : x
  2. Step 2: Convert to fraction form
    1,034.71/1,427.36 = 703.35/x
  3. Step 3: Cross multiply
    1,034.71x = 1,427.36 × 703.35
  4. Step 4: Simplify right side
    1,034.71x = 1,003,930.14
  5. Step 5: Solve for x
    x = 1,003,930.14/1,034.71
  6. Step 6: Final answer
    x = 970.26

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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.