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Finding the Fourth Proportional to 1,156.06, 1,734.84 and 425.64

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Solution

The fourth proportional to 1,156.06, 1,734.84 and 425.64 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.06 : 1,734.84 = 425.64 : x
  2. Step 2: Convert to fraction form
    1,156.06/1,734.84 = 425.64/x
  3. Step 3: Cross multiply
    1,156.06x = 1,734.84 × 425.64
  4. Step 4: Simplify right side
    1,156.06x = 738,417.30
  5. Step 5: Solve for x
    x = 738,417.30/1,156.06
  6. Step 6: Final answer
    x = 638.74

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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.