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Finding the Fourth Proportional to 957.77, 1,437.15 and 410.41

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Solution

The fourth proportional to 957.77, 1,437.15 and 410.41 is: 615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.77 : 1,437.15 = 410.41 : x
  2. Step 2: Convert to fraction form
    957.77/1,437.15 = 410.41/x
  3. Step 3: Cross multiply
    957.77x = 1,437.15 × 410.41
  4. Step 4: Simplify right side
    957.77x = 589,818.68
  5. Step 5: Solve for x
    x = 589,818.68/957.77
  6. Step 6: Final answer
    x = 615.82

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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.