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Finding the Fourth Proportional to 957.12, 1,320.80 and 543.12

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Solution

The fourth proportional to 957.12, 1,320.80 and 543.12 is: 749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.12 : 1,320.80 = 543.12 : x
  2. Step 2: Convert to fraction form
    957.12/1,320.80 = 543.12/x
  3. Step 3: Cross multiply
    957.12x = 1,320.80 × 543.12
  4. Step 4: Simplify right side
    957.12x = 717,352.90
  5. Step 5: Solve for x
    x = 717,352.90/957.12
  6. Step 6: Final answer
    x = 749.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.