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Finding the Fourth Proportional to 1,170.69, 1,615.37 and 673.35

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Solution

The fourth proportional to 1,170.69, 1,615.37 and 673.35 is: 929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.69 : 1,615.37 = 673.35 : x
  2. Step 2: Convert to fraction form
    1,170.69/1,615.37 = 673.35/x
  3. Step 3: Cross multiply
    1,170.69x = 1,615.37 × 673.35
  4. Step 4: Simplify right side
    1,170.69x = 1,087,709.39
  5. Step 5: Solve for x
    x = 1,087,709.39/1,170.69
  6. Step 6: Final answer
    x = 929.12

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Half scale
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Double scale
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1.5x scale

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.