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Finding the Fourth Proportional to 1,235.61, 1,854.10 and 505.70

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Solution

The fourth proportional to 1,235.61, 1,854.10 and 505.70 is: 758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.61 : 1,854.10 = 505.70 : x
  2. Step 2: Convert to fraction form
    1,235.61/1,854.10 = 505.70/x
  3. Step 3: Cross multiply
    1,235.61x = 1,854.10 × 505.70
  4. Step 4: Simplify right side
    1,235.61x = 937,622.85
  5. Step 5: Solve for x
    x = 937,622.85/1,235.61
  6. Step 6: Final answer
    x = 758.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.