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Finding the Fourth Proportional to 637.63, 956.75 and 312.95

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Solution

The fourth proportional to 637.63, 956.75 and 312.95 is: 469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.63 : 956.75 = 312.95 : x
  2. Step 2: Convert to fraction form
    637.63/956.75 = 312.95/x
  3. Step 3: Cross multiply
    637.63x = 956.75 × 312.95
  4. Step 4: Simplify right side
    637.63x = 299,415.74
  5. Step 5: Solve for x
    x = 299,415.74/637.63
  6. Step 6: Final answer
    x = 469.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.