Home / 1,177.16-1,764.32-690.35

Finding the Fourth Proportional to 1,177.16, 1,764.32 and 690.35

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Solution

The fourth proportional to 1,177.16, 1,764.32 and 690.35 is: 1,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.16 : 1,764.32 = 690.35 : x
  2. Step 2: Convert to fraction form
    1,177.16/1,764.32 = 690.35/x
  3. Step 3: Cross multiply
    1,177.16x = 1,764.32 × 690.35
  4. Step 4: Simplify right side
    1,177.16x = 1,217,986.04
  5. Step 5: Solve for x
    x = 1,217,986.04/1,177.16
  6. Step 6: Final answer
    x = 1,034.69

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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.