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Finding the Fourth Proportional to 1,782.50, 2,673.50 and 549.95

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Solution

The fourth proportional to 1,782.50, 2,673.50 and 549.95 is: 824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.50 : 2,673.50 = 549.95 : x
  2. Step 2: Convert to fraction form
    1,782.50/2,673.50 = 549.95/x
  3. Step 3: Cross multiply
    1,782.50x = 2,673.50 × 549.95
  4. Step 4: Simplify right side
    1,782.50x = 1,470,275.21
  5. Step 5: Solve for x
    x = 1,470,275.21/1,782.50
  6. Step 6: Final answer
    x = 824.84

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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.