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Finding the Fourth Proportional to 710.45, 979.36 and 499.94

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Solution

The fourth proportional to 710.45, 979.36 and 499.94 is: 689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.45 : 979.36 = 499.94 : x
  2. Step 2: Convert to fraction form
    710.45/979.36 = 499.94/x
  3. Step 3: Cross multiply
    710.45x = 979.36 × 499.94
  4. Step 4: Simplify right side
    710.45x = 489,615.09
  5. Step 5: Solve for x
    x = 489,615.09/710.45
  6. Step 6: Final answer
    x = 689.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.