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Finding the Fourth Proportional to 714.54, 985.71 and 419.64

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Solution

The fourth proportional to 714.54, 985.71 and 419.64 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.54 : 985.71 = 419.64 : x
  2. Step 2: Convert to fraction form
    714.54/985.71 = 419.64/x
  3. Step 3: Cross multiply
    714.54x = 985.71 × 419.64
  4. Step 4: Simplify right side
    714.54x = 413,643.34
  5. Step 5: Solve for x
    x = 413,643.34/714.54
  6. Step 6: Final answer
    x = 578.89

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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.