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Finding the Fourth Proportional to 714.29, 985.45 and 504.82

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Solution

The fourth proportional to 714.29, 985.45 and 504.82 is: 696.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 985.45 = 504.82 : x
  2. Step 2: Convert to fraction form
    714.29/985.45 = 504.82/x
  3. Step 3: Cross multiply
    714.29x = 985.45 × 504.82
  4. Step 4: Simplify right side
    714.29x = 497,470.24
  5. Step 5: Solve for x
    x = 497,470.24/714.29
  6. Step 6: Final answer
    x = 696.46

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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.