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Finding the Fourth Proportional to 931.59, 1,395.36 and 541.17

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Solution

The fourth proportional to 931.59, 1,395.36 and 541.17 is: 810.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.59 : 1,395.36 = 541.17 : x
  2. Step 2: Convert to fraction form
    931.59/1,395.36 = 541.17/x
  3. Step 3: Cross multiply
    931.59x = 1,395.36 × 541.17
  4. Step 4: Simplify right side
    931.59x = 755,126.97
  5. Step 5: Solve for x
    x = 755,126.97/931.59
  6. Step 6: Final answer
    x = 810.58

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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.