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Finding the Fourth Proportional to 784.65, 1,082.84 and 430.59

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Solution

The fourth proportional to 784.65, 1,082.84 and 430.59 is: 594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.65 : 1,082.84 = 430.59 : x
  2. Step 2: Convert to fraction form
    784.65/1,082.84 = 430.59/x
  3. Step 3: Cross multiply
    784.65x = 1,082.84 × 430.59
  4. Step 4: Simplify right side
    784.65x = 466,259.54
  5. Step 5: Solve for x
    x = 466,259.54/784.65
  6. Step 6: Final answer
    x = 594.22

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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.