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Finding the Fourth Proportional to 555, 765.29 and 456.59

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Solution

The fourth proportional to 555, 765.29 and 456.59 is: 629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    555 : 765.29 = 456.59 : x
  2. Step 2: Convert to fraction form
    555/765.29 = 456.59/x
  3. Step 3: Cross multiply
    555x = 765.29 × 456.59
  4. Step 4: Simplify right side
    555x = 349,417.65
  5. Step 5: Solve for x
    x = 349,417.65/555
  6. Step 6: Final answer
    x = 629.58

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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.