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Finding the Fourth Proportional to 957.62, 1,437.04 and 409.96

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Solution

The fourth proportional to 957.62, 1,437.04 and 409.96 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.62 : 1,437.04 = 409.96 : x
  2. Step 2: Convert to fraction form
    957.62/1,437.04 = 409.96/x
  3. Step 3: Cross multiply
    957.62x = 1,437.04 × 409.96
  4. Step 4: Simplify right side
    957.62x = 589,131.23
  5. Step 5: Solve for x
    x = 589,131.23/957.62
  6. Step 6: Final answer
    x = 615.20

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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.