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Finding the Fourth Proportional to 608, 916.14 and 541.70

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Solution

The fourth proportional to 608, 916.14 and 541.70 is: 816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    608 : 916.14 = 541.70 : x
  2. Step 2: Convert to fraction form
    608/916.14 = 541.70/x
  3. Step 3: Cross multiply
    608x = 916.14 × 541.70
  4. Step 4: Simplify right side
    608x = 496,273.04
  5. Step 5: Solve for x
    x = 496,273.04/608
  6. Step 6: Final answer
    x = 816.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.