Home / 1,118.24-1,677.64-469.04

Finding the Fourth Proportional to 1,118.24, 1,677.64 and 469.04

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Solution

The fourth proportional to 1,118.24, 1,677.64 and 469.04 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.24 : 1,677.64 = 469.04 : x
  2. Step 2: Convert to fraction form
    1,118.24/1,677.64 = 469.04/x
  3. Step 3: Cross multiply
    1,118.24x = 1,677.64 × 469.04
  4. Step 4: Simplify right side
    1,118.24x = 786,880.27
  5. Step 5: Solve for x
    x = 786,880.27/1,118.24
  6. Step 6: Final answer
    x = 703.68

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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.