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Finding the Fourth Proportional to 697.50, 1,052.28 and 678.06

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Solution

The fourth proportional to 697.50, 1,052.28 and 678.06 is: 1,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.50 : 1,052.28 = 678.06 : x
  2. Step 2: Convert to fraction form
    697.50/1,052.28 = 678.06/x
  3. Step 3: Cross multiply
    697.50x = 1,052.28 × 678.06
  4. Step 4: Simplify right side
    697.50x = 713,508.98
  5. Step 5: Solve for x
    x = 713,508.98/697.50
  6. Step 6: Final answer
    x = 1,022.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.