Home / 1,507.80-2,262.04-583.36

Finding the Fourth Proportional to 1,507.80, 2,262.04 and 583.36

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Solution

The fourth proportional to 1,507.80, 2,262.04 and 583.36 is: 875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.80 : 2,262.04 = 583.36 : x
  2. Step 2: Convert to fraction form
    1,507.80/2,262.04 = 583.36/x
  3. Step 3: Cross multiply
    1,507.80x = 2,262.04 × 583.36
  4. Step 4: Simplify right side
    1,507.80x = 1,319,583.65
  5. Step 5: Solve for x
    x = 1,319,583.65/1,507.80
  6. Step 6: Final answer
    x = 875.17

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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.