Home / 1,384.03-2,075.46-459.34

Finding the Fourth Proportional to 1,384.03, 2,075.46 and 459.34

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Solution

The fourth proportional to 1,384.03, 2,075.46 and 459.34 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.03 : 2,075.46 = 459.34 : x
  2. Step 2: Convert to fraction form
    1,384.03/2,075.46 = 459.34/x
  3. Step 3: Cross multiply
    1,384.03x = 2,075.46 × 459.34
  4. Step 4: Simplify right side
    1,384.03x = 953,341.80
  5. Step 5: Solve for x
    x = 953,341.80/1,384.03
  6. Step 6: Final answer
    x = 688.82

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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.