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Finding the Fourth Proportional to 705.77, 1,053.76 and 662.03

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Solution

The fourth proportional to 705.77, 1,053.76 and 662.03 is: 988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.77 : 1,053.76 = 662.03 : x
  2. Step 2: Convert to fraction form
    705.77/1,053.76 = 662.03/x
  3. Step 3: Cross multiply
    705.77x = 1,053.76 × 662.03
  4. Step 4: Simplify right side
    705.77x = 697,620.73
  5. Step 5: Solve for x
    x = 697,620.73/705.77
  6. Step 6: Final answer
    x = 988.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.