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Finding the Fourth Proportional to 784.88, 1,083.14 and 430.83

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Solution

The fourth proportional to 784.88, 1,083.14 and 430.83 is: 594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.88 : 1,083.14 = 430.83 : x
  2. Step 2: Convert to fraction form
    784.88/1,083.14 = 430.83/x
  3. Step 3: Cross multiply
    784.88x = 1,083.14 × 430.83
  4. Step 4: Simplify right side
    784.88x = 466,649.21
  5. Step 5: Solve for x
    x = 466,649.21/784.88
  6. Step 6: Final answer
    x = 594.55

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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.