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Finding the Fourth Proportional to 547.36, 816.02 and 510.88

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Solution

The fourth proportional to 547.36, 816.02 and 510.88 is: 761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.36 : 816.02 = 510.88 : x
  2. Step 2: Convert to fraction form
    547.36/816.02 = 510.88/x
  3. Step 3: Cross multiply
    547.36x = 816.02 × 510.88
  4. Step 4: Simplify right side
    547.36x = 416,888.30
  5. Step 5: Solve for x
    x = 416,888.30/547.36
  6. Step 6: Final answer
    x = 761.63

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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.