Home / 1,206.02-1,809.11-384.36

Finding the Fourth Proportional to 1,206.02, 1,809.11 and 384.36

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Solution

The fourth proportional to 1,206.02, 1,809.11 and 384.36 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.02 : 1,809.11 = 384.36 : x
  2. Step 2: Convert to fraction form
    1,206.02/1,809.11 = 384.36/x
  3. Step 3: Cross multiply
    1,206.02x = 1,809.11 × 384.36
  4. Step 4: Simplify right side
    1,206.02x = 695,347.60
  5. Step 5: Solve for x
    x = 695,347.60/1,206.02
  6. Step 6: Final answer
    x = 576.57

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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.