Home / 1,467.07-2,199.34-542.45

Finding the Fourth Proportional to 1,467.07, 2,199.34 and 542.45

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Solution

The fourth proportional to 1,467.07, 2,199.34 and 542.45 is: 813.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.07 : 2,199.34 = 542.45 : x
  2. Step 2: Convert to fraction form
    1,467.07/2,199.34 = 542.45/x
  3. Step 3: Cross multiply
    1,467.07x = 2,199.34 × 542.45
  4. Step 4: Simplify right side
    1,467.07x = 1,193,031.98
  5. Step 5: Solve for x
    x = 1,193,031.98/1,467.07
  6. Step 6: Final answer
    x = 813.21

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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.