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Finding the Fourth Proportional to 699.02, 1,047.45 and 287.81

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Solution

The fourth proportional to 699.02, 1,047.45 and 287.81 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.02 : 1,047.45 = 287.81 : x
  2. Step 2: Convert to fraction form
    699.02/1,047.45 = 287.81/x
  3. Step 3: Cross multiply
    699.02x = 1,047.45 × 287.81
  4. Step 4: Simplify right side
    699.02x = 301,466.58
  5. Step 5: Solve for x
    x = 301,466.58/699.02
  6. Step 6: Final answer
    x = 431.27

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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.