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Finding the Fourth Proportional to 714.10, 985.17 and 477.94

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Solution

The fourth proportional to 714.10, 985.17 and 477.94 is: 659.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.10 : 985.17 = 477.94 : x
  2. Step 2: Convert to fraction form
    714.10/985.17 = 477.94/x
  3. Step 3: Cross multiply
    714.10x = 985.17 × 477.94
  4. Step 4: Simplify right side
    714.10x = 470,852.15
  5. Step 5: Solve for x
    x = 470,852.15/714.10
  6. Step 6: Final answer
    x = 659.36

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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.