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Finding the Fourth Proportional to 1,157.46, 1,597.20 and 660.00

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Solution

The fourth proportional to 1,157.46, 1,597.20 and 660.00 is: 910.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.46 : 1,597.20 = 660.00 : x
  2. Step 2: Convert to fraction form
    1,157.46/1,597.20 = 660.00/x
  3. Step 3: Cross multiply
    1,157.46x = 1,597.20 × 660.00
  4. Step 4: Simplify right side
    1,157.46x = 1,054,157.99
  5. Step 5: Solve for x
    x = 1,054,157.99/1,157.46
  6. Step 6: Final answer
    x = 910.75

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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.