Home / 1,106.39-1,656.88-1,077.23

Finding the Fourth Proportional to 1,106.39, 1,656.88 and 1,077.23

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Solution

The fourth proportional to 1,106.39, 1,656.88 and 1,077.23 is: 1,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.39 : 1,656.88 = 1,077.23 : x
  2. Step 2: Convert to fraction form
    1,106.39/1,656.88 = 1,077.23/x
  3. Step 3: Cross multiply
    1,106.39x = 1,656.88 × 1,077.23
  4. Step 4: Simplify right side
    1,106.39x = 1,784,827.17
  5. Step 5: Solve for x
    x = 1,784,827.17/1,106.39
  6. Step 6: Final answer
    x = 1,613.21

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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.