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Finding the Fourth Proportional to 838.32, 1,157.36 and 558.94

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Solution

The fourth proportional to 838.32, 1,157.36 and 558.94 is: 771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.32 : 1,157.36 = 558.94 : x
  2. Step 2: Convert to fraction form
    838.32/1,157.36 = 558.94/x
  3. Step 3: Cross multiply
    838.32x = 1,157.36 × 558.94
  4. Step 4: Simplify right side
    838.32x = 646,894.80
  5. Step 5: Solve for x
    x = 646,894.80/838.32
  6. Step 6: Final answer
    x = 771.66

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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.