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Finding the Fourth Proportional to 714.33, 985.65 and 399.58

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Solution

The fourth proportional to 714.33, 985.65 and 399.58 is: 551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.33 : 985.65 = 399.58 : x
  2. Step 2: Convert to fraction form
    714.33/985.65 = 399.58/x
  3. Step 3: Cross multiply
    714.33x = 985.65 × 399.58
  4. Step 4: Simplify right side
    714.33x = 393,842.06
  5. Step 5: Solve for x
    x = 393,842.06/714.33
  6. Step 6: Final answer
    x = 551.35

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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.