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Finding the Fourth Proportional to 614.79, 918.14 and 546.75

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Solution

The fourth proportional to 614.79, 918.14 and 546.75 is: 816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.79 : 918.14 = 546.75 : x
  2. Step 2: Convert to fraction form
    614.79/918.14 = 546.75/x
  3. Step 3: Cross multiply
    614.79x = 918.14 × 546.75
  4. Step 4: Simplify right side
    614.79x = 501,990.31
  5. Step 5: Solve for x
    x = 501,990.31/614.79
  6. Step 6: Final answer
    x = 816.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.