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Finding the Fourth Proportional to 957.77, 1,435.61 and 410.28

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Solution

The fourth proportional to 957.77, 1,435.61 and 410.28 is: 614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.77 : 1,435.61 = 410.28 : x
  2. Step 2: Convert to fraction form
    957.77/1,435.61 = 410.28/x
  3. Step 3: Cross multiply
    957.77x = 1,435.61 × 410.28
  4. Step 4: Simplify right side
    957.77x = 589,003.10
  5. Step 5: Solve for x
    x = 589,003.10/957.77
  6. Step 6: Final answer
    x = 614.97

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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.