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Finding the Fourth Proportional to 635.07, 875.55 and 457.88

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Solution

The fourth proportional to 635.07, 875.55 and 457.88 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.07 : 875.55 = 457.88 : x
  2. Step 2: Convert to fraction form
    635.07/875.55 = 457.88/x
  3. Step 3: Cross multiply
    635.07x = 875.55 × 457.88
  4. Step 4: Simplify right side
    635.07x = 400,894.65
  5. Step 5: Solve for x
    x = 400,894.65/635.07
  6. Step 6: Final answer
    x = 631.27

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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.