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Finding the Fourth Proportional to 1,135.41, 1,703.12 and 313.67

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Solution

The fourth proportional to 1,135.41, 1,703.12 and 313.67 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.41 : 1,703.12 = 313.67 : x
  2. Step 2: Convert to fraction form
    1,135.41/1,703.12 = 313.67/x
  3. Step 3: Cross multiply
    1,135.41x = 1,703.12 × 313.67
  4. Step 4: Simplify right side
    1,135.41x = 534,207.57
  5. Step 5: Solve for x
    x = 534,207.57/1,135.41
  6. Step 6: Final answer
    x = 470.50

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Half scale
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Double scale
Find fourth proportional to 1,136.41, 1,704.62 and 314.67
Similar ratio
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1.5x scale

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.