Home / 1,584.04-2,376.51-488.57

Finding the Fourth Proportional to 1,584.04, 2,376.51 and 488.57

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Solution

The fourth proportional to 1,584.04, 2,376.51 and 488.57 is: 732.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.04 : 2,376.51 = 488.57 : x
  2. Step 2: Convert to fraction form
    1,584.04/2,376.51 = 488.57/x
  3. Step 3: Cross multiply
    1,584.04x = 2,376.51 × 488.57
  4. Step 4: Simplify right side
    1,584.04x = 1,161,079.61
  5. Step 5: Solve for x
    x = 1,161,079.61/1,584.04
  6. Step 6: Final answer
    x = 732.99

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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.