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Finding the Fourth Proportional to 957.20, 1,320.94 and 537.50

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Solution

The fourth proportional to 957.20, 1,320.94 and 537.50 is: 741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.20 : 1,320.94 = 537.50 : x
  2. Step 2: Convert to fraction form
    957.20/1,320.94 = 537.50/x
  3. Step 3: Cross multiply
    957.20x = 1,320.94 × 537.50
  4. Step 4: Simplify right side
    957.20x = 710,005.25
  5. Step 5: Solve for x
    x = 710,005.25/957.20
  6. Step 6: Final answer
    x = 741.75

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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.