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Finding the Fourth Proportional to 612.81, 914.49 and 547.11

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Solution

The fourth proportional to 612.81, 914.49 and 547.11 is: 816.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.81 : 914.49 = 547.11 : x
  2. Step 2: Convert to fraction form
    612.81/914.49 = 547.11/x
  3. Step 3: Cross multiply
    612.81x = 914.49 × 547.11
  4. Step 4: Simplify right side
    612.81x = 500,326.62
  5. Step 5: Solve for x
    x = 500,326.62/612.81
  6. Step 6: Final answer
    x = 816.45

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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.