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Finding the Fourth Proportional to 828.74, 1,143.50 and 492.77

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Solution

The fourth proportional to 828.74, 1,143.50 and 492.77 is: 679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,143.50 = 492.77 : x
  2. Step 2: Convert to fraction form
    828.74/1,143.50 = 492.77/x
  3. Step 3: Cross multiply
    828.74x = 1,143.50 × 492.77
  4. Step 4: Simplify right side
    828.74x = 563,474.31
  5. Step 5: Solve for x
    x = 563,474.31/828.74
  6. Step 6: Final answer
    x = 679.91

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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.