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Finding the Fourth Proportional to 670.55, 924.82 and 539.33

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Solution

The fourth proportional to 670.55, 924.82 and 539.33 is: 743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.55 : 924.82 = 539.33 : x
  2. Step 2: Convert to fraction form
    670.55/924.82 = 539.33/x
  3. Step 3: Cross multiply
    670.55x = 924.82 × 539.33
  4. Step 4: Simplify right side
    670.55x = 498,777.20
  5. Step 5: Solve for x
    x = 498,777.20/670.55
  6. Step 6: Final answer
    x = 743.84

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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.