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Finding the Fourth Proportional to 699.03, 1,047.06 and 492.75

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Solution

The fourth proportional to 699.03, 1,047.06 and 492.75 is: 738.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.03 : 1,047.06 = 492.75 : x
  2. Step 2: Convert to fraction form
    699.03/1,047.06 = 492.75/x
  3. Step 3: Cross multiply
    699.03x = 1,047.06 × 492.75
  4. Step 4: Simplify right side
    699.03x = 515,938.82
  5. Step 5: Solve for x
    x = 515,938.82/699.03
  6. Step 6: Final answer
    x = 738.08

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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.