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Finding the Fourth Proportional to 665.26, 992.86 and 647.98

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Solution

The fourth proportional to 665.26, 992.86 and 647.98 is: 967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.26 : 992.86 = 647.98 : x
  2. Step 2: Convert to fraction form
    665.26/992.86 = 647.98/x
  3. Step 3: Cross multiply
    665.26x = 992.86 × 647.98
  4. Step 4: Simplify right side
    665.26x = 643,353.42
  5. Step 5: Solve for x
    x = 643,353.42/665.26
  6. Step 6: Final answer
    x = 967.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.