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Finding the Fourth Proportional to 957.62, 1,436.99 and 402.28

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Solution

The fourth proportional to 957.62, 1,436.99 and 402.28 is: 603.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,436.99 = 402.28 : x
  2. Step 2: Convert to fraction form
    957.62/1,436.99 = 402.28/x
  3. Step 3: Cross multiply
    957.62x = 1,436.99 × 402.28
  4. Step 4: Simplify right side
    957.62x = 578,072.34
  5. Step 5: Solve for x
    x = 578,072.34/957.62
  6. Step 6: Final answer
    x = 603.66

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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.