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Finding the Fourth Proportional to 1,157.58, 1,732.21 and 718.46

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Solution

The fourth proportional to 1,157.58, 1,732.21 and 718.46 is: 1,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.58 : 1,732.21 = 718.46 : x
  2. Step 2: Convert to fraction form
    1,157.58/1,732.21 = 718.46/x
  3. Step 3: Cross multiply
    1,157.58x = 1,732.21 × 718.46
  4. Step 4: Simplify right side
    1,157.58x = 1,244,523.60
  5. Step 5: Solve for x
    x = 1,244,523.60/1,157.58
  6. Step 6: Final answer
    x = 1,075.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.