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Finding the Fourth Proportional to 714.54, 985.80 and 415.65

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Solution

The fourth proportional to 714.54, 985.80 and 415.65 is: 573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.54 : 985.80 = 415.65 : x
  2. Step 2: Convert to fraction form
    714.54/985.80 = 415.65/x
  3. Step 3: Cross multiply
    714.54x = 985.80 × 415.65
  4. Step 4: Simplify right side
    714.54x = 409,747.77
  5. Step 5: Solve for x
    x = 409,747.77/714.54
  6. Step 6: Final answer
    x = 573.44

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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.