Home / 1,664.47-2,496.71-431.78

Finding the Fourth Proportional to 1,664.47, 2,496.71 and 431.78

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Solution

The fourth proportional to 1,664.47, 2,496.71 and 431.78 is: 647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.47 : 2,496.71 = 431.78 : x
  2. Step 2: Convert to fraction form
    1,664.47/2,496.71 = 431.78/x
  3. Step 3: Cross multiply
    1,664.47x = 2,496.71 × 431.78
  4. Step 4: Simplify right side
    1,664.47x = 1,078,031.48
  5. Step 5: Solve for x
    x = 1,078,031.48/1,664.47
  6. Step 6: Final answer
    x = 647.67

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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.