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Finding the Fourth Proportional to 714.65, 986.05 and 419.93

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Solution

The fourth proportional to 714.65, 986.05 and 419.93 is: 579.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.65 : 986.05 = 419.93 : x
  2. Step 2: Convert to fraction form
    714.65/986.05 = 419.93/x
  3. Step 3: Cross multiply
    714.65x = 986.05 × 419.93
  4. Step 4: Simplify right side
    714.65x = 414,075.63
  5. Step 5: Solve for x
    x = 414,075.63/714.65
  6. Step 6: Final answer
    x = 579.41

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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.