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Finding the Fourth Proportional to 957.84, 1,437.36 and 470.88

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Solution

The fourth proportional to 957.84, 1,437.36 and 470.88 is: 706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.84 : 1,437.36 = 470.88 : x
  2. Step 2: Convert to fraction form
    957.84/1,437.36 = 470.88/x
  3. Step 3: Cross multiply
    957.84x = 1,437.36 × 470.88
  4. Step 4: Simplify right side
    957.84x = 676,824.08
  5. Step 5: Solve for x
    x = 676,824.08/957.84
  6. Step 6: Final answer
    x = 706.61

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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.