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Finding the Fourth Proportional to 675.63, 928.99 and 577.21

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Solution

The fourth proportional to 675.63, 928.99 and 577.21 is: 793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.63 : 928.99 = 577.21 : x
  2. Step 2: Convert to fraction form
    675.63/928.99 = 577.21/x
  3. Step 3: Cross multiply
    675.63x = 928.99 × 577.21
  4. Step 4: Simplify right side
    675.63x = 536,222.32
  5. Step 5: Solve for x
    x = 536,222.32/675.63
  6. Step 6: Final answer
    x = 793.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.