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Finding the Fourth Proportional to 1,188.46, 1,782.42 and 603.10

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Solution

The fourth proportional to 1,188.46, 1,782.42 and 603.10 is: 904.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.46 : 1,782.42 = 603.10 : x
  2. Step 2: Convert to fraction form
    1,188.46/1,782.42 = 603.10/x
  3. Step 3: Cross multiply
    1,188.46x = 1,782.42 × 603.10
  4. Step 4: Simplify right side
    1,188.46x = 1,074,977.50
  5. Step 5: Solve for x
    x = 1,074,977.50/1,188.46
  6. Step 6: Final answer
    x = 904.51

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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.