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Finding the Fourth Proportional to 838.02, 1,156.86 and 558.72

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Solution

The fourth proportional to 838.02, 1,156.86 and 558.72 is: 771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.02 : 1,156.86 = 558.72 : x
  2. Step 2: Convert to fraction form
    838.02/1,156.86 = 558.72/x
  3. Step 3: Cross multiply
    838.02x = 1,156.86 × 558.72
  4. Step 4: Simplify right side
    838.02x = 646,360.82
  5. Step 5: Solve for x
    x = 646,360.82/838.02
  6. Step 6: Final answer
    x = 771.30

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Double scale
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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.