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Finding the Fourth Proportional to 637.75, 955.69 and 313.35

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Solution

The fourth proportional to 637.75, 955.69 and 313.35 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.75 : 955.69 = 313.35 : x
  2. Step 2: Convert to fraction form
    637.75/955.69 = 313.35/x
  3. Step 3: Cross multiply
    637.75x = 955.69 × 313.35
  4. Step 4: Simplify right side
    637.75x = 299,465.46
  5. Step 5: Solve for x
    x = 299,465.46/637.75
  6. Step 6: Final answer
    x = 469.57

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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.