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Finding the Fourth Proportional to 784.39, 1,082.45 and 435.08

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Solution

The fourth proportional to 784.39, 1,082.45 and 435.08 is: 600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.39 : 1,082.45 = 435.08 : x
  2. Step 2: Convert to fraction form
    784.39/1,082.45 = 435.08/x
  3. Step 3: Cross multiply
    784.39x = 1,082.45 × 435.08
  4. Step 4: Simplify right side
    784.39x = 470,952.35
  5. Step 5: Solve for x
    x = 470,952.35/784.39
  6. Step 6: Final answer
    x = 600.41

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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.