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Finding the Fourth Proportional to 1,085, 1,627.50 and 315.50

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Solution

The fourth proportional to 1,085, 1,627.50 and 315.50 is: 473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085 : 1,627.50 = 315.50 : x
  2. Step 2: Convert to fraction form
    1,085/1,627.50 = 315.50/x
  3. Step 3: Cross multiply
    1,085x = 1,627.50 × 315.50
  4. Step 4: Simplify right side
    1,085x = 513,476.25
  5. Step 5: Solve for x
    x = 513,476.25/1,085
  6. Step 6: Final answer
    x = 473.25

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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.