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Finding the Fourth Proportional to 637.68, 956.88 and 313.06

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Solution

The fourth proportional to 637.68, 956.88 and 313.06 is: 469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.68 : 956.88 = 313.06 : x
  2. Step 2: Convert to fraction form
    637.68/956.88 = 313.06/x
  3. Step 3: Cross multiply
    637.68x = 956.88 × 313.06
  4. Step 4: Simplify right side
    637.68x = 299,560.85
  5. Step 5: Solve for x
    x = 299,560.85/637.68
  6. Step 6: Final answer
    x = 469.77

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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.