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Finding the Fourth Proportional to 704.60, 1,062.12 and 643.09

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Solution

The fourth proportional to 704.60, 1,062.12 and 643.09 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.60 : 1,062.12 = 643.09 : x
  2. Step 2: Convert to fraction form
    704.60/1,062.12 = 643.09/x
  3. Step 3: Cross multiply
    704.60x = 1,062.12 × 643.09
  4. Step 4: Simplify right side
    704.60x = 683,038.75
  5. Step 5: Solve for x
    x = 683,038.75/704.60
  6. Step 6: Final answer
    x = 969.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.