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Finding the Fourth Proportional to 1,184.65, 1,770.77 and 835.65

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Solution

The fourth proportional to 1,184.65, 1,770.77 and 835.65 is: 1,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.65 : 1,770.77 = 835.65 : x
  2. Step 2: Convert to fraction form
    1,184.65/1,770.77 = 835.65/x
  3. Step 3: Cross multiply
    1,184.65x = 1,770.77 × 835.65
  4. Step 4: Simplify right side
    1,184.65x = 1,479,746.04
  5. Step 5: Solve for x
    x = 1,479,746.04/1,184.65
  6. Step 6: Final answer
    x = 1,249.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.