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Finding the Fourth Proportional to 957.01, 1,435.39 and 436.45

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Solution

The fourth proportional to 957.01, 1,435.39 and 436.45 is: 654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.01 : 1,435.39 = 436.45 : x
  2. Step 2: Convert to fraction form
    957.01/1,435.39 = 436.45/x
  3. Step 3: Cross multiply
    957.01x = 1,435.39 × 436.45
  4. Step 4: Simplify right side
    957.01x = 626,475.97
  5. Step 5: Solve for x
    x = 626,475.97/957.01
  6. Step 6: Final answer
    x = 654.62

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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.