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Finding the Fourth Proportional to 784.57, 1,083.43 and 505.30

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Solution

The fourth proportional to 784.57, 1,083.43 and 505.30 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.57 : 1,083.43 = 505.30 : x
  2. Step 2: Convert to fraction form
    784.57/1,083.43 = 505.30/x
  3. Step 3: Cross multiply
    784.57x = 1,083.43 × 505.30
  4. Step 4: Simplify right side
    784.57x = 547,454.47
  5. Step 5: Solve for x
    x = 547,454.47/784.57
  6. Step 6: Final answer
    x = 697.77

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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.