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Finding the Fourth Proportional to 1,364.58, 2,047.50 and 499.50

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Solution

The fourth proportional to 1,364.58, 2,047.50 and 499.50 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.58 : 2,047.50 = 499.50 : x
  2. Step 2: Convert to fraction form
    1,364.58/2,047.50 = 499.50/x
  3. Step 3: Cross multiply
    1,364.58x = 2,047.50 × 499.50
  4. Step 4: Simplify right side
    1,364.58x = 1,022,726.25
  5. Step 5: Solve for x
    x = 1,022,726.25/1,364.58
  6. Step 6: Final answer
    x = 749.48

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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.