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Finding the Fourth Proportional to 631.64, 872.52 and 506.84

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Solution

The fourth proportional to 631.64, 872.52 and 506.84 is: 700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.64 : 872.52 = 506.84 : x
  2. Step 2: Convert to fraction form
    631.64/872.52 = 506.84/x
  3. Step 3: Cross multiply
    631.64x = 872.52 × 506.84
  4. Step 4: Simplify right side
    631.64x = 442,228.04
  5. Step 5: Solve for x
    x = 442,228.04/631.64
  6. Step 6: Final answer
    x = 700.13

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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.