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Finding the Fourth Proportional to 1,127.75, 1,555.88 and 662.00

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Solution

The fourth proportional to 1,127.75, 1,555.88 and 662.00 is: 913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.75 : 1,555.88 = 662.00 : x
  2. Step 2: Convert to fraction form
    1,127.75/1,555.88 = 662.00/x
  3. Step 3: Cross multiply
    1,127.75x = 1,555.88 × 662.00
  4. Step 4: Simplify right side
    1,127.75x = 1,029,981.47
  5. Step 5: Solve for x
    x = 1,029,981.47/1,127.75
  6. Step 6: Final answer
    x = 913.31

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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.