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Finding the Fourth Proportional to 785.64, 1,177.38 and 568.56

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Solution

The fourth proportional to 785.64, 1,177.38 and 568.56 is: 852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.64 : 1,177.38 = 568.56 : x
  2. Step 2: Convert to fraction form
    785.64/1,177.38 = 568.56/x
  3. Step 3: Cross multiply
    785.64x = 1,177.38 × 568.56
  4. Step 4: Simplify right side
    785.64x = 669,411.17
  5. Step 5: Solve for x
    x = 669,411.17/785.64
  6. Step 6: Final answer
    x = 852.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.