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Finding the Fourth Proportional to 614.69, 918.14 and 546.65

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Solution

The fourth proportional to 614.69, 918.14 and 546.65 is: 816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.69 : 918.14 = 546.65 : x
  2. Step 2: Convert to fraction form
    614.69/918.14 = 546.65/x
  3. Step 3: Cross multiply
    614.69x = 918.14 × 546.65
  4. Step 4: Simplify right side
    614.69x = 501,897.35
  5. Step 5: Solve for x
    x = 501,897.35/614.69
  6. Step 6: Final answer
    x = 816.51

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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.