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Finding the Fourth Proportional to 707.84, 976.48 and 445.76

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Solution

The fourth proportional to 707.84, 976.48 and 445.76 is: 614.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.84 : 976.48 = 445.76 : x
  2. Step 2: Convert to fraction form
    707.84/976.48 = 445.76/x
  3. Step 3: Cross multiply
    707.84x = 976.48 × 445.76
  4. Step 4: Simplify right side
    707.84x = 435,275.72
  5. Step 5: Solve for x
    x = 435,275.72/707.84
  6. Step 6: Final answer
    x = 614.94

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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.