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Finding the Fourth Proportional to 1,106.42, 1,658.21 and 557.37

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Solution

The fourth proportional to 1,106.42, 1,658.21 and 557.37 is: 835.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.42 : 1,658.21 = 557.37 : x
  2. Step 2: Convert to fraction form
    1,106.42/1,658.21 = 557.37/x
  3. Step 3: Cross multiply
    1,106.42x = 1,658.21 × 557.37
  4. Step 4: Simplify right side
    1,106.42x = 924,233.72
  5. Step 5: Solve for x
    x = 924,233.72/1,106.42
  6. Step 6: Final answer
    x = 835.34

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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.