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Finding the Fourth Proportional to 698.18, 956.04 and 670.64

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Solution

The fourth proportional to 698.18, 956.04 and 670.64 is: 918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.18 : 956.04 = 670.64 : x
  2. Step 2: Convert to fraction form
    698.18/956.04 = 670.64/x
  3. Step 3: Cross multiply
    698.18x = 956.04 × 670.64
  4. Step 4: Simplify right side
    698.18x = 641,158.67
  5. Step 5: Solve for x
    x = 641,158.67/698.18
  6. Step 6: Final answer
    x = 918.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.