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Finding the Fourth Proportional to 710.18, 973.93 and 680.61

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Solution

The fourth proportional to 710.18, 973.93 and 680.61 is: 933.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.18 : 973.93 = 680.61 : x
  2. Step 2: Convert to fraction form
    710.18/973.93 = 680.61/x
  3. Step 3: Cross multiply
    710.18x = 973.93 × 680.61
  4. Step 4: Simplify right side
    710.18x = 662,863.09
  5. Step 5: Solve for x
    x = 662,863.09/710.18
  6. Step 6: Final answer
    x = 933.38

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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.