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Finding the Fourth Proportional to 670.97, 925.23 and 530.86

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Solution

The fourth proportional to 670.97, 925.23 and 530.86 is: 732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.97 : 925.23 = 530.86 : x
  2. Step 2: Convert to fraction form
    670.97/925.23 = 530.86/x
  3. Step 3: Cross multiply
    670.97x = 925.23 × 530.86
  4. Step 4: Simplify right side
    670.97x = 491,163.29
  5. Step 5: Solve for x
    x = 491,163.29/670.97
  6. Step 6: Final answer
    x = 732.03

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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.