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Finding the Fourth Proportional to 629.58, 867.87 and 463.51

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Solution

The fourth proportional to 629.58, 867.87 and 463.51 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.58 : 867.87 = 463.51 : x
  2. Step 2: Convert to fraction form
    629.58/867.87 = 463.51/x
  3. Step 3: Cross multiply
    629.58x = 867.87 × 463.51
  4. Step 4: Simplify right side
    629.58x = 402,267.51
  5. Step 5: Solve for x
    x = 402,267.51/629.58
  6. Step 6: Final answer
    x = 638.94

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1.5x scale

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.