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Finding the Fourth Proportional to 714.69, 986.13 and 415.89

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Solution

The fourth proportional to 714.69, 986.13 and 415.89 is: 573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 986.13 = 415.89 : x
  2. Step 2: Convert to fraction form
    714.69/986.13 = 415.89/x
  3. Step 3: Cross multiply
    714.69x = 986.13 × 415.89
  4. Step 4: Simplify right side
    714.69x = 410,121.61
  5. Step 5: Solve for x
    x = 410,121.61/714.69
  6. Step 6: Final answer
    x = 573.85

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1.5x scale

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.