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Finding the Fourth Proportional to 707.96, 975.96 and 497.49

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Solution

The fourth proportional to 707.96, 975.96 and 497.49 is: 685.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.96 : 975.96 = 497.49 : x
  2. Step 2: Convert to fraction form
    707.96/975.96 = 497.49/x
  3. Step 3: Cross multiply
    707.96x = 975.96 × 497.49
  4. Step 4: Simplify right side
    707.96x = 485,530.34
  5. Step 5: Solve for x
    x = 485,530.34/707.96
  6. Step 6: Final answer
    x = 685.82

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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.