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Finding the Fourth Proportional to 1,234.75, 1,703.96 and 769

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Solution

The fourth proportional to 1,234.75, 1,703.96 and 769 is: 1,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.75 : 1,703.96 = 769 : x
  2. Step 2: Convert to fraction form
    1,234.75/1,703.96 = 769/x
  3. Step 3: Cross multiply
    1,234.75x = 1,703.96 × 769
  4. Step 4: Simplify right side
    1,234.75x = 1,310,341.40
  5. Step 5: Solve for x
    x = 1,310,341.40/1,234.75
  6. Step 6: Final answer
    x = 1,061.22

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Find fourth proportional to 617.38, 851.98 and 384.50
Half scale
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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.