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Finding the Fourth Proportional to 580.68, 866.70 and 522.36

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Solution

The fourth proportional to 580.68, 866.70 and 522.36 is: 779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.68 : 866.70 = 522.36 : x
  2. Step 2: Convert to fraction form
    580.68/866.70 = 522.36/x
  3. Step 3: Cross multiply
    580.68x = 866.70 × 522.36
  4. Step 4: Simplify right side
    580.68x = 452,729.41
  5. Step 5: Solve for x
    x = 452,729.41/580.68
  6. Step 6: Final answer
    x = 779.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.