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Finding the Fourth Proportional to 714.21, 985.61 and 434.39

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Solution

The fourth proportional to 714.21, 985.61 and 434.39 is: 599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.21 : 985.61 = 434.39 : x
  2. Step 2: Convert to fraction form
    714.21/985.61 = 434.39/x
  3. Step 3: Cross multiply
    714.21x = 985.61 × 434.39
  4. Step 4: Simplify right side
    714.21x = 428,143.99
  5. Step 5: Solve for x
    x = 428,143.99/714.21
  6. Step 6: Final answer
    x = 599.46

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Half scale
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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.