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Finding the Fourth Proportional to 1,498.62, 2,068.07 and 835.45

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Solution

The fourth proportional to 1,498.62, 2,068.07 and 835.45 is: 1,152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.62 : 2,068.07 = 835.45 : x
  2. Step 2: Convert to fraction form
    1,498.62/2,068.07 = 835.45/x
  3. Step 3: Cross multiply
    1,498.62x = 2,068.07 × 835.45
  4. Step 4: Simplify right side
    1,498.62x = 1,727,769.84
  5. Step 5: Solve for x
    x = 1,727,769.84/1,498.62
  6. Step 6: Final answer
    x = 1,152.91

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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.