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Finding the Fourth Proportional to 925.04, 1,275.53 and 859.43

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Solution

The fourth proportional to 925.04, 1,275.53 and 859.43 is: 1,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.04 : 1,275.53 = 859.43 : x
  2. Step 2: Convert to fraction form
    925.04/1,275.53 = 859.43/x
  3. Step 3: Cross multiply
    925.04x = 1,275.53 × 859.43
  4. Step 4: Simplify right side
    925.04x = 1,096,218.07
  5. Step 5: Solve for x
    x = 1,096,218.07/925.04
  6. Step 6: Final answer
    x = 1,185.06

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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.