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Finding the Fourth Proportional to 784.94, 1,082.94 and 485.96

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Solution

The fourth proportional to 784.94, 1,082.94 and 485.96 is: 670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.94 : 1,082.94 = 485.96 : x
  2. Step 2: Convert to fraction form
    784.94/1,082.94 = 485.96/x
  3. Step 3: Cross multiply
    784.94x = 1,082.94 × 485.96
  4. Step 4: Simplify right side
    784.94x = 526,265.52
  5. Step 5: Solve for x
    x = 526,265.52/784.94
  6. Step 6: Final answer
    x = 670.45

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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.