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Finding the Fourth Proportional to 1,705.65, 2,358.03 and 1,690.08

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Solution

The fourth proportional to 1,705.65, 2,358.03 and 1,690.08 is: 2,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.65 : 2,358.03 = 1,690.08 : x
  2. Step 2: Convert to fraction form
    1,705.65/2,358.03 = 1,690.08/x
  3. Step 3: Cross multiply
    1,705.65x = 2,358.03 × 1,690.08
  4. Step 4: Simplify right side
    1,705.65x = 3,985,268.19
  5. Step 5: Solve for x
    x = 3,985,268.19/1,705.65
  6. Step 6: Final answer
    x = 2,336.50

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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.