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Finding the Fourth Proportional to 1,179.42, 1,627.12 and 712.86

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Solution

The fourth proportional to 1,179.42, 1,627.12 and 712.86 is: 983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.42 : 1,627.12 = 712.86 : x
  2. Step 2: Convert to fraction form
    1,179.42/1,627.12 = 712.86/x
  3. Step 3: Cross multiply
    1,179.42x = 1,627.12 × 712.86
  4. Step 4: Simplify right side
    1,179.42x = 1,159,898.85
  5. Step 5: Solve for x
    x = 1,159,898.85/1,179.42
  6. Step 6: Final answer
    x = 983.45

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1.5x scale

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.