Home / 1,574.09-2,359.76-923.45

Finding the Fourth Proportional to 1,574.09, 2,359.76 and 923.45

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Solution

The fourth proportional to 1,574.09, 2,359.76 and 923.45 is: 1,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.09 : 2,359.76 = 923.45 : x
  2. Step 2: Convert to fraction form
    1,574.09/2,359.76 = 923.45/x
  3. Step 3: Cross multiply
    1,574.09x = 2,359.76 × 923.45
  4. Step 4: Simplify right side
    1,574.09x = 2,179,123.96
  5. Step 5: Solve for x
    x = 2,179,123.96/1,574.09
  6. Step 6: Final answer
    x = 1,384.38

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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.