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Finding the Fourth Proportional to 1,031.90, 1,547.79 and 338.46

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Solution

The fourth proportional to 1,031.90, 1,547.79 and 338.46 is: 507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.90 : 1,547.79 = 338.46 : x
  2. Step 2: Convert to fraction form
    1,031.90/1,547.79 = 338.46/x
  3. Step 3: Cross multiply
    1,031.90x = 1,547.79 × 338.46
  4. Step 4: Simplify right side
    1,031.90x = 523,865.00
  5. Step 5: Solve for x
    x = 523,865.00/1,031.90
  6. Step 6: Final answer
    x = 507.67

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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.