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Finding the Fourth Proportional to 707.76, 976.86 and 446.04

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Solution

The fourth proportional to 707.76, 976.86 and 446.04 is: 615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.76 : 976.86 = 446.04 : x
  2. Step 2: Convert to fraction form
    707.76/976.86 = 446.04/x
  3. Step 3: Cross multiply
    707.76x = 976.86 × 446.04
  4. Step 4: Simplify right side
    707.76x = 435,718.63
  5. Step 5: Solve for x
    x = 435,718.63/707.76
  6. Step 6: Final answer
    x = 615.63

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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.