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Finding the Fourth Proportional to 1,102.76, 1,522.14 and 753.44

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Solution

The fourth proportional to 1,102.76, 1,522.14 and 753.44 is: 1,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.76 : 1,522.14 = 753.44 : x
  2. Step 2: Convert to fraction form
    1,102.76/1,522.14 = 753.44/x
  3. Step 3: Cross multiply
    1,102.76x = 1,522.14 × 753.44
  4. Step 4: Simplify right side
    1,102.76x = 1,146,841.16
  5. Step 5: Solve for x
    x = 1,146,841.16/1,102.76
  6. Step 6: Final answer
    x = 1,039.97

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Find fourth proportional to 551.38, 761.07 and 376.72
Half scale
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Double scale
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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.