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Finding the Fourth Proportional to 1,175.07, 1,762.64 and 558.84

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Solution

The fourth proportional to 1,175.07, 1,762.64 and 558.84 is: 838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.07 : 1,762.64 = 558.84 : x
  2. Step 2: Convert to fraction form
    1,175.07/1,762.64 = 558.84/x
  3. Step 3: Cross multiply
    1,175.07x = 1,762.64 × 558.84
  4. Step 4: Simplify right side
    1,175.07x = 985,030.94
  5. Step 5: Solve for x
    x = 985,030.94/1,175.07
  6. Step 6: Final answer
    x = 838.27

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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.