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Finding the Fourth Proportional to 953.31, 1,314.83 and 638.47

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Solution

The fourth proportional to 953.31, 1,314.83 and 638.47 is: 880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.31 : 1,314.83 = 638.47 : x
  2. Step 2: Convert to fraction form
    953.31/1,314.83 = 638.47/x
  3. Step 3: Cross multiply
    953.31x = 1,314.83 × 638.47
  4. Step 4: Simplify right side
    953.31x = 839,486.45
  5. Step 5: Solve for x
    x = 839,486.45/953.31
  6. Step 6: Final answer
    x = 880.60

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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.