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Finding the Fourth Proportional to 1,584.06, 2,373.50 and 543.50

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Solution

The fourth proportional to 1,584.06, 2,373.50 and 543.50 is: 814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.06 : 2,373.50 = 543.50 : x
  2. Step 2: Convert to fraction form
    1,584.06/2,373.50 = 543.50/x
  3. Step 3: Cross multiply
    1,584.06x = 2,373.50 × 543.50
  4. Step 4: Simplify right side
    1,584.06x = 1,289,982.67
  5. Step 5: Solve for x
    x = 1,289,982.67/1,584.06
  6. Step 6: Final answer
    x = 814.35

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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.