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Finding the Fourth Proportional to 547.16, 816.12 and 465.08

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Solution

The fourth proportional to 547.16, 816.12 and 465.08 is: 693.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.16 : 816.12 = 465.08 : x
  2. Step 2: Convert to fraction form
    547.16/816.12 = 465.08/x
  3. Step 3: Cross multiply
    547.16x = 816.12 × 465.08
  4. Step 4: Simplify right side
    547.16x = 379,557.01
  5. Step 5: Solve for x
    x = 379,557.01/547.16
  6. Step 6: Final answer
    x = 693.69

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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.