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Finding the Fourth Proportional to 1,158.65, 1,737.41 and 378.51

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Solution

The fourth proportional to 1,158.65, 1,737.41 and 378.51 is: 567.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.65 : 1,737.41 = 378.51 : x
  2. Step 2: Convert to fraction form
    1,158.65/1,737.41 = 378.51/x
  3. Step 3: Cross multiply
    1,158.65x = 1,737.41 × 378.51
  4. Step 4: Simplify right side
    1,158.65x = 657,628.64
  5. Step 5: Solve for x
    x = 657,628.64/1,158.65
  6. Step 6: Final answer
    x = 567.58

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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.