Home / 1,507.14-2,261.12-533.25

Finding the Fourth Proportional to 1,507.14, 2,261.12 and 533.25

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Solution

The fourth proportional to 1,507.14, 2,261.12 and 533.25 is: 800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.14 : 2,261.12 = 533.25 : x
  2. Step 2: Convert to fraction form
    1,507.14/2,261.12 = 533.25/x
  3. Step 3: Cross multiply
    1,507.14x = 2,261.12 × 533.25
  4. Step 4: Simplify right side
    1,507.14x = 1,205,739.57
  5. Step 5: Solve for x
    x = 1,205,739.57/1,507.14
  6. Step 6: Final answer
    x = 800.02

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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.