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Finding the Fourth Proportional to 1,285.45, 1,773.95 and 761.48

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Solution

The fourth proportional to 1,285.45, 1,773.95 and 761.48 is: 1,050.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.45 : 1,773.95 = 761.48 : x
  2. Step 2: Convert to fraction form
    1,285.45/1,773.95 = 761.48/x
  3. Step 3: Cross multiply
    1,285.45x = 1,773.95 × 761.48
  4. Step 4: Simplify right side
    1,285.45x = 1,350,827.45
  5. Step 5: Solve for x
    x = 1,350,827.45/1,285.45
  6. Step 6: Final answer
    x = 1,050.86

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1.5x scale

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.