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Finding the Fourth Proportional to 697.84, 1,045.73 and 636.32

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Solution

The fourth proportional to 697.84, 1,045.73 and 636.32 is: 953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 1,045.73 = 636.32 : x
  2. Step 2: Convert to fraction form
    697.84/1,045.73 = 636.32/x
  3. Step 3: Cross multiply
    697.84x = 1,045.73 × 636.32
  4. Step 4: Simplify right side
    697.84x = 665,423.12
  5. Step 5: Solve for x
    x = 665,423.12/697.84
  6. Step 6: Final answer
    x = 953.55

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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.