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Finding the Fourth Proportional to 676.36, 932.88 and 510.58

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Solution

The fourth proportional to 676.36, 932.88 and 510.58 is: 704.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.36 : 932.88 = 510.58 : x
  2. Step 2: Convert to fraction form
    676.36/932.88 = 510.58/x
  3. Step 3: Cross multiply
    676.36x = 932.88 × 510.58
  4. Step 4: Simplify right side
    676.36x = 476,309.87
  5. Step 5: Solve for x
    x = 476,309.87/676.36
  6. Step 6: Final answer
    x = 704.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.