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Finding the Fourth Proportional to 1,069.26, 1,475.37 and 603.42

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Solution

The fourth proportional to 1,069.26, 1,475.37 and 603.42 is: 832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.26 : 1,475.37 = 603.42 : x
  2. Step 2: Convert to fraction form
    1,069.26/1,475.37 = 603.42/x
  3. Step 3: Cross multiply
    1,069.26x = 1,475.37 × 603.42
  4. Step 4: Simplify right side
    1,069.26x = 890,267.77
  5. Step 5: Solve for x
    x = 890,267.77/1,069.26
  6. Step 6: Final answer
    x = 832.60

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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.