Home / 1,409.24-2,112.28-530.90

Finding the Fourth Proportional to 1,409.24, 2,112.28 and 530.90

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Solution

The fourth proportional to 1,409.24, 2,112.28 and 530.90 is: 795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.24 : 2,112.28 = 530.90 : x
  2. Step 2: Convert to fraction form
    1,409.24/2,112.28 = 530.90/x
  3. Step 3: Cross multiply
    1,409.24x = 2,112.28 × 530.90
  4. Step 4: Simplify right side
    1,409.24x = 1,121,409.45
  5. Step 5: Solve for x
    x = 1,121,409.45/1,409.24
  6. Step 6: Final answer
    x = 795.75

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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.