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Finding the Fourth Proportional to 1,018.12, 1,526.78 and 359.80

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Solution

The fourth proportional to 1,018.12, 1,526.78 and 359.80 is: 539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.12 : 1,526.78 = 359.80 : x
  2. Step 2: Convert to fraction form
    1,018.12/1,526.78 = 359.80/x
  3. Step 3: Cross multiply
    1,018.12x = 1,526.78 × 359.80
  4. Step 4: Simplify right side
    1,018.12x = 549,335.44
  5. Step 5: Solve for x
    x = 549,335.44/1,018.12
  6. Step 6: Final answer
    x = 539.56

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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.