Home / 1,031.85-1,548.90-415.98

Finding the Fourth Proportional to 1,031.85, 1,548.90 and 415.98

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Solution

The fourth proportional to 1,031.85, 1,548.90 and 415.98 is: 624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.85 : 1,548.90 = 415.98 : x
  2. Step 2: Convert to fraction form
    1,031.85/1,548.90 = 415.98/x
  3. Step 3: Cross multiply
    1,031.85x = 1,548.90 × 415.98
  4. Step 4: Simplify right side
    1,031.85x = 644,311.42
  5. Step 5: Solve for x
    x = 644,311.42/1,031.85
  6. Step 6: Final answer
    x = 624.42

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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.