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Finding the Fourth Proportional to 714.69, 985.89 and 419.91

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Solution

The fourth proportional to 714.69, 985.89 and 419.91 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 985.89 = 419.91 : x
  2. Step 2: Convert to fraction form
    714.69/985.89 = 419.91/x
  3. Step 3: Cross multiply
    714.69x = 985.89 × 419.91
  4. Step 4: Simplify right side
    714.69x = 413,985.07
  5. Step 5: Solve for x
    x = 413,985.07/714.69
  6. Step 6: Final answer
    x = 579.25

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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.