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Finding the Fourth Proportional to 709.14, 977.80 and 568.80

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Solution

The fourth proportional to 709.14, 977.80 and 568.80 is: 784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 977.80 = 568.80 : x
  2. Step 2: Convert to fraction form
    709.14/977.80 = 568.80/x
  3. Step 3: Cross multiply
    709.14x = 977.80 × 568.80
  4. Step 4: Simplify right side
    709.14x = 556,172.64
  5. Step 5: Solve for x
    x = 556,172.64/709.14
  6. Step 6: Final answer
    x = 784.29

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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.