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Finding the Fourth Proportional to 707.90, 974.54 and 620.42

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Solution

The fourth proportional to 707.90, 974.54 and 620.42 is: 854.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.90 : 974.54 = 620.42 : x
  2. Step 2: Convert to fraction form
    707.90/974.54 = 620.42/x
  3. Step 3: Cross multiply
    707.90x = 974.54 × 620.42
  4. Step 4: Simplify right side
    707.90x = 604,624.11
  5. Step 5: Solve for x
    x = 604,624.11/707.90
  6. Step 6: Final answer
    x = 854.11

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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.