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Finding the Fourth Proportional to 1,690.98, 2,534.59 and 703.25

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Solution

The fourth proportional to 1,690.98, 2,534.59 and 703.25 is: 1,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.98 : 2,534.59 = 703.25 : x
  2. Step 2: Convert to fraction form
    1,690.98/2,534.59 = 703.25/x
  3. Step 3: Cross multiply
    1,690.98x = 2,534.59 × 703.25
  4. Step 4: Simplify right side
    1,690.98x = 1,782,437.74
  5. Step 5: Solve for x
    x = 1,782,437.74/1,690.98
  6. Step 6: Final answer
    x = 1,054.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.