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Finding the Fourth Proportional to 957.17, 1,320.89 and 559.10

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Solution

The fourth proportional to 957.17, 1,320.89 and 559.10 is: 771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.17 : 1,320.89 = 559.10 : x
  2. Step 2: Convert to fraction form
    957.17/1,320.89 = 559.10/x
  3. Step 3: Cross multiply
    957.17x = 1,320.89 × 559.10
  4. Step 4: Simplify right side
    957.17x = 738,509.60
  5. Step 5: Solve for x
    x = 738,509.60/957.17
  6. Step 6: Final answer
    x = 771.56

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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.