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Finding the Fourth Proportional to 1,275.46, 1,913.19 and 351.11

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Solution

The fourth proportional to 1,275.46, 1,913.19 and 351.11 is: 526.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.46 : 1,913.19 = 351.11 : x
  2. Step 2: Convert to fraction form
    1,275.46/1,913.19 = 351.11/x
  3. Step 3: Cross multiply
    1,275.46x = 1,913.19 × 351.11
  4. Step 4: Simplify right side
    1,275.46x = 671,745.80
  5. Step 5: Solve for x
    x = 671,745.80/1,275.46
  6. Step 6: Final answer
    x = 526.67

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Double scale
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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.