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Finding the Fourth Proportional to 1,698.10, 2,547.53 and 773.92

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Solution

The fourth proportional to 1,698.10, 2,547.53 and 773.92 is: 1,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.10 : 2,547.53 = 773.92 : x
  2. Step 2: Convert to fraction form
    1,698.10/2,547.53 = 773.92/x
  3. Step 3: Cross multiply
    1,698.10x = 2,547.53 × 773.92
  4. Step 4: Simplify right side
    1,698.10x = 1,971,584.42
  5. Step 5: Solve for x
    x = 1,971,584.42/1,698.10
  6. Step 6: Final answer
    x = 1,161.05

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1.5x scale

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.