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Finding the Fourth Proportional to 1,090.76, 1,505.67 and 761

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Solution

The fourth proportional to 1,090.76, 1,505.67 and 761 is: 1,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.76 : 1,505.67 = 761 : x
  2. Step 2: Convert to fraction form
    1,090.76/1,505.67 = 761/x
  3. Step 3: Cross multiply
    1,090.76x = 1,505.67 × 761
  4. Step 4: Simplify right side
    1,090.76x = 1,145,814.87
  5. Step 5: Solve for x
    x = 1,145,814.87/1,090.76
  6. Step 6: Final answer
    x = 1,050.47

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Find fourth proportional to 545.38, 752.84 and 380.50
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Double scale
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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.