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Finding the Fourth Proportional to 714.71, 986.84 and 567.09

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Solution

The fourth proportional to 714.71, 986.84 and 567.09 is: 783.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 986.84 = 567.09 : x
  2. Step 2: Convert to fraction form
    714.71/986.84 = 567.09/x
  3. Step 3: Cross multiply
    714.71x = 986.84 × 567.09
  4. Step 4: Simplify right side
    714.71x = 559,624.26
  5. Step 5: Solve for x
    x = 559,624.26/714.71
  6. Step 6: Final answer
    x = 783.01

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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.