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Finding the Fourth Proportional to 714.23, 985.36 and 434.37

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Solution

The fourth proportional to 714.23, 985.36 and 434.37 is: 599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.23 : 985.36 = 434.37 : x
  2. Step 2: Convert to fraction form
    714.23/985.36 = 434.37/x
  3. Step 3: Cross multiply
    714.23x = 985.36 × 434.37
  4. Step 4: Simplify right side
    714.23x = 428,010.82
  5. Step 5: Solve for x
    x = 428,010.82/714.23
  6. Step 6: Final answer
    x = 599.26

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Double scale
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1.5x scale

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.