Home / 1,507.09-2,261.31-533.35

Finding the Fourth Proportional to 1,507.09, 2,261.31 and 533.35

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Solution

The fourth proportional to 1,507.09, 2,261.31 and 533.35 is: 800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.09 : 2,261.31 = 533.35 : x
  2. Step 2: Convert to fraction form
    1,507.09/2,261.31 = 533.35/x
  3. Step 3: Cross multiply
    1,507.09x = 2,261.31 × 533.35
  4. Step 4: Simplify right side
    1,507.09x = 1,206,069.69
  5. Step 5: Solve for x
    x = 1,206,069.69/1,507.09
  6. Step 6: Final answer
    x = 800.26

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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.