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Finding the Fourth Proportional to 714.18, 985.56 and 434.36

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Solution

The fourth proportional to 714.18, 985.56 and 434.36 is: 599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.18 : 985.56 = 434.36 : x
  2. Step 2: Convert to fraction form
    714.18/985.56 = 434.36/x
  3. Step 3: Cross multiply
    714.18x = 985.56 × 434.36
  4. Step 4: Simplify right side
    714.18x = 428,087.84
  5. Step 5: Solve for x
    x = 428,087.84/714.18
  6. Step 6: Final answer
    x = 599.41

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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.