Home / 1,384.34-2,075.22-726.08

Finding the Fourth Proportional to 1,384.34, 2,075.22 and 726.08

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Solution

The fourth proportional to 1,384.34, 2,075.22 and 726.08 is: 1,088.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.34 : 2,075.22 = 726.08 : x
  2. Step 2: Convert to fraction form
    1,384.34/2,075.22 = 726.08/x
  3. Step 3: Cross multiply
    1,384.34x = 2,075.22 × 726.08
  4. Step 4: Simplify right side
    1,384.34x = 1,506,765.36
  5. Step 5: Solve for x
    x = 1,506,765.36/1,384.34
  6. Step 6: Final answer
    x = 1,088.44

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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.