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Finding the Fourth Proportional to 784.13, 1,082.08 and 430.06

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Solution

The fourth proportional to 784.13, 1,082.08 and 430.06 is: 593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.13 : 1,082.08 = 430.06 : x
  2. Step 2: Convert to fraction form
    784.13/1,082.08 = 430.06/x
  3. Step 3: Cross multiply
    784.13x = 1,082.08 × 430.06
  4. Step 4: Simplify right side
    784.13x = 465,353.91
  5. Step 5: Solve for x
    x = 465,353.91/784.13
  6. Step 6: Final answer
    x = 593.47

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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.