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Finding the Fourth Proportional to 714.33, 985.69 and 419.59

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Solution

The fourth proportional to 714.33, 985.69 and 419.59 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.33 : 985.69 = 419.59 : x
  2. Step 2: Convert to fraction form
    714.33/985.69 = 419.59/x
  3. Step 3: Cross multiply
    714.33x = 985.69 × 419.59
  4. Step 4: Simplify right side
    714.33x = 413,585.67
  5. Step 5: Solve for x
    x = 413,585.67/714.33
  6. Step 6: Final answer
    x = 578.98

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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.