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Finding the Fourth Proportional to 637.84, 957.12 and 313.20

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Solution

The fourth proportional to 637.84, 957.12 and 313.20 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.84 : 957.12 = 313.20 : x
  2. Step 2: Convert to fraction form
    637.84/957.12 = 313.20/x
  3. Step 3: Cross multiply
    637.84x = 957.12 × 313.20
  4. Step 4: Simplify right side
    637.84x = 299,769.98
  5. Step 5: Solve for x
    x = 299,769.98/637.84
  6. Step 6: Final answer
    x = 469.98

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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.