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Finding the Fourth Proportional to 1,113.62, 1,670.79 and 626.54

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Solution

The fourth proportional to 1,113.62, 1,670.79 and 626.54 is: 940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.62 : 1,670.79 = 626.54 : x
  2. Step 2: Convert to fraction form
    1,113.62/1,670.79 = 626.54/x
  3. Step 3: Cross multiply
    1,113.62x = 1,670.79 × 626.54
  4. Step 4: Simplify right side
    1,113.62x = 1,046,816.77
  5. Step 5: Solve for x
    x = 1,046,816.77/1,113.62
  6. Step 6: Final answer
    x = 940.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.