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Finding the Fourth Proportional to 785.40, 1,083.51 and 505.59

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Solution

The fourth proportional to 785.40, 1,083.51 and 505.59 is: 697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,083.51 = 505.59 : x
  2. Step 2: Convert to fraction form
    785.40/1,083.51 = 505.59/x
  3. Step 3: Cross multiply
    785.40x = 1,083.51 × 505.59
  4. Step 4: Simplify right side
    785.40x = 547,811.82
  5. Step 5: Solve for x
    x = 547,811.82/785.40
  6. Step 6: Final answer
    x = 697.49

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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.