Home / 1,507.24-2,260.88-533.39

Finding the Fourth Proportional to 1,507.24, 2,260.88 and 533.39

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Solution

The fourth proportional to 1,507.24, 2,260.88 and 533.39 is: 800.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.24 : 2,260.88 = 533.39 : x
  2. Step 2: Convert to fraction form
    1,507.24/2,260.88 = 533.39/x
  3. Step 3: Cross multiply
    1,507.24x = 2,260.88 × 533.39
  4. Step 4: Simplify right side
    1,507.24x = 1,205,928.12
  5. Step 5: Solve for x
    x = 1,205,928.12/1,507.24
  6. Step 6: Final answer
    x = 800.09

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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.