Home / 1,542.74-2,312.36-664.82

Finding the Fourth Proportional to 1,542.74, 2,312.36 and 664.82

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Solution

The fourth proportional to 1,542.74, 2,312.36 and 664.82 is: 996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.74 : 2,312.36 = 664.82 : x
  2. Step 2: Convert to fraction form
    1,542.74/2,312.36 = 664.82/x
  3. Step 3: Cross multiply
    1,542.74x = 2,312.36 × 664.82
  4. Step 4: Simplify right side
    1,542.74x = 1,537,303.18
  5. Step 5: Solve for x
    x = 1,537,303.18/1,542.74
  6. Step 6: Final answer
    x = 996.48

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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.