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Finding the Fourth Proportional to 631.21, 871.75 and 562.51

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Solution

The fourth proportional to 631.21, 871.75 and 562.51 is: 776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.21 : 871.75 = 562.51 : x
  2. Step 2: Convert to fraction form
    631.21/871.75 = 562.51/x
  3. Step 3: Cross multiply
    631.21x = 871.75 × 562.51
  4. Step 4: Simplify right side
    631.21x = 490,368.09
  5. Step 5: Solve for x
    x = 490,368.09/631.21
  6. Step 6: Final answer
    x = 776.87

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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.