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Finding the Fourth Proportional to 784.24, 1,082.14 and 469.54

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Solution

The fourth proportional to 784.24, 1,082.14 and 469.54 is: 647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.24 : 1,082.14 = 469.54 : x
  2. Step 2: Convert to fraction form
    784.24/1,082.14 = 469.54/x
  3. Step 3: Cross multiply
    784.24x = 1,082.14 × 469.54
  4. Step 4: Simplify right side
    784.24x = 508,108.02
  5. Step 5: Solve for x
    x = 508,108.02/784.24
  6. Step 6: Final answer
    x = 647.90

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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.