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Finding the Fourth Proportional to 705.74, 974.00 and 436.60

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Solution

The fourth proportional to 705.74, 974.00 and 436.60 is: 602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 974.00 = 436.60 : x
  2. Step 2: Convert to fraction form
    705.74/974.00 = 436.60/x
  3. Step 3: Cross multiply
    705.74x = 974.00 × 436.60
  4. Step 4: Simplify right side
    705.74x = 425,241.35
  5. Step 5: Solve for x
    x = 425,241.35/705.74
  6. Step 6: Final answer
    x = 602.55

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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.