Home / 1,106.78-1,527.38-609.45

Finding the Fourth Proportional to 1,106.78, 1,527.38 and 609.45

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Solution

The fourth proportional to 1,106.78, 1,527.38 and 609.45 is: 841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.78 : 1,527.38 = 609.45 : x
  2. Step 2: Convert to fraction form
    1,106.78/1,527.38 = 609.45/x
  3. Step 3: Cross multiply
    1,106.78x = 1,527.38 × 609.45
  4. Step 4: Simplify right side
    1,106.78x = 930,861.74
  5. Step 5: Solve for x
    x = 930,861.74/1,106.78
  6. Step 6: Final answer
    x = 841.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.