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Finding the Fourth Proportional to 1,106.31, 1,526.93 and 658.27

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Solution

The fourth proportional to 1,106.31, 1,526.93 and 658.27 is: 908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.31 : 1,526.93 = 658.27 : x
  2. Step 2: Convert to fraction form
    1,106.31/1,526.93 = 658.27/x
  3. Step 3: Cross multiply
    1,106.31x = 1,526.93 × 658.27
  4. Step 4: Simplify right side
    1,106.31x = 1,005,132.21
  5. Step 5: Solve for x
    x = 1,005,132.21/1,106.31
  6. Step 6: Final answer
    x = 908.54

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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.