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Finding the Fourth Proportional to 705.13, 972.90 and 452.94

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Solution

The fourth proportional to 705.13, 972.90 and 452.94 is: 624.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.13 : 972.90 = 452.94 : x
  2. Step 2: Convert to fraction form
    705.13/972.90 = 452.94/x
  3. Step 3: Cross multiply
    705.13x = 972.90 × 452.94
  4. Step 4: Simplify right side
    705.13x = 440,668.42
  5. Step 5: Solve for x
    x = 440,668.42/705.13
  6. Step 6: Final answer
    x = 624.95

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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.