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Finding the Fourth Proportional to 697.12, 1,045.58 and 455.36

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Solution

The fourth proportional to 697.12, 1,045.58 and 455.36 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.12 : 1,045.58 = 455.36 : x
  2. Step 2: Convert to fraction form
    697.12/1,045.58 = 455.36/x
  3. Step 3: Cross multiply
    697.12x = 1,045.58 × 455.36
  4. Step 4: Simplify right side
    697.12x = 476,115.31
  5. Step 5: Solve for x
    x = 476,115.31/697.12
  6. Step 6: Final answer
    x = 682.97

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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.