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Finding the Fourth Proportional to 957, 1,435.68 and 444

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Solution

The fourth proportional to 957, 1,435.68 and 444 is: 666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    957 : 1,435.68 = 444 : x
  2. Step 2: Convert to fraction form
    957/1,435.68 = 444/x
  3. Step 3: Cross multiply
    957x = 1,435.68 × 444
  4. Step 4: Simplify right side
    957x = 637,441.92
  5. Step 5: Solve for x
    x = 637,441.92/957
  6. Step 6: Final answer
    x = 666.08

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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.