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Finding the Fourth Proportional to 957, 1,320.74 and 543.08

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Solution

The fourth proportional to 957, 1,320.74 and 543.08 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    957 : 1,320.74 = 543.08 : x
  2. Step 2: Convert to fraction form
    957/1,320.74 = 543.08/x
  3. Step 3: Cross multiply
    957x = 1,320.74 × 543.08
  4. Step 4: Simplify right side
    957x = 717,267.48
  5. Step 5: Solve for x
    x = 717,267.48/957
  6. Step 6: Final answer
    x = 749.50

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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.