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Finding the Fourth Proportional to 704.87, 1,059.58 and 654.14

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Solution

The fourth proportional to 704.87, 1,059.58 and 654.14 is: 983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.87 : 1,059.58 = 654.14 : x
  2. Step 2: Convert to fraction form
    704.87/1,059.58 = 654.14/x
  3. Step 3: Cross multiply
    704.87x = 1,059.58 × 654.14
  4. Step 4: Simplify right side
    704.87x = 693,113.66
  5. Step 5: Solve for x
    x = 693,113.66/704.87
  6. Step 6: Final answer
    x = 983.32

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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.