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Finding the Fourth Proportional to 1,698.93, 2,547.59 and 659.42

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Solution

The fourth proportional to 1,698.93, 2,547.59 and 659.42 is: 988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.93 : 2,547.59 = 659.42 : x
  2. Step 2: Convert to fraction form
    1,698.93/2,547.59 = 659.42/x
  3. Step 3: Cross multiply
    1,698.93x = 2,547.59 × 659.42
  4. Step 4: Simplify right side
    1,698.93x = 1,679,915.76
  5. Step 5: Solve for x
    x = 1,679,915.76/1,698.93
  6. Step 6: Final answer
    x = 988.81

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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.