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Finding the Fourth Proportional to 1,285.12, 1,773.48 and 761.20

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Solution

The fourth proportional to 1,285.12, 1,773.48 and 761.20 is: 1,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.12 : 1,773.48 = 761.20 : x
  2. Step 2: Convert to fraction form
    1,285.12/1,773.48 = 761.20/x
  3. Step 3: Cross multiply
    1,285.12x = 1,773.48 × 761.20
  4. Step 4: Simplify right side
    1,285.12x = 1,349,972.98
  5. Step 5: Solve for x
    x = 1,349,972.98/1,285.12
  6. Step 6: Final answer
    x = 1,050.46

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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.