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Finding the Fourth Proportional to 785.40, 1,083.50 and 505.58

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Solution

The fourth proportional to 785.40, 1,083.50 and 505.58 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,083.50 = 505.58 : x
  2. Step 2: Convert to fraction form
    785.40/1,083.50 = 505.58/x
  3. Step 3: Cross multiply
    785.40x = 1,083.50 × 505.58
  4. Step 4: Simplify right side
    785.40x = 547,795.93
  5. Step 5: Solve for x
    x = 547,795.93/785.40
  6. Step 6: Final answer
    x = 697.47

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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.