Home / 1,206.15-1,809.28-340.53

Finding the Fourth Proportional to 1,206.15, 1,809.28 and 340.53

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Solution

The fourth proportional to 1,206.15, 1,809.28 and 340.53 is: 510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.15 : 1,809.28 = 340.53 : x
  2. Step 2: Convert to fraction form
    1,206.15/1,809.28 = 340.53/x
  3. Step 3: Cross multiply
    1,206.15x = 1,809.28 × 340.53
  4. Step 4: Simplify right side
    1,206.15x = 616,114.12
  5. Step 5: Solve for x
    x = 616,114.12/1,206.15
  6. Step 6: Final answer
    x = 510.81

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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.