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Finding the Fourth Proportional to 546.36, 814.53 and 509.88

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Solution

The fourth proportional to 546.36, 814.53 and 509.88 is: 760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 814.53 = 509.88 : x
  2. Step 2: Convert to fraction form
    546.36/814.53 = 509.88/x
  3. Step 3: Cross multiply
    546.36x = 814.53 × 509.88
  4. Step 4: Simplify right side
    546.36x = 415,312.56
  5. Step 5: Solve for x
    x = 415,312.56/546.36
  6. Step 6: Final answer
    x = 760.14

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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.