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Finding the Fourth Proportional to 707.94, 977.85 and 646.38

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Solution

The fourth proportional to 707.94, 977.85 and 646.38 is: 892.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.94 : 977.85 = 646.38 : x
  2. Step 2: Convert to fraction form
    707.94/977.85 = 646.38/x
  3. Step 3: Cross multiply
    707.94x = 977.85 × 646.38
  4. Step 4: Simplify right side
    707.94x = 632,062.68
  5. Step 5: Solve for x
    x = 632,062.68/707.94
  6. Step 6: Final answer
    x = 892.82

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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.