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Finding the Fourth Proportional to 714.71, 985.61 and 466.25

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Solution

The fourth proportional to 714.71, 985.61 and 466.25 is: 642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 985.61 = 466.25 : x
  2. Step 2: Convert to fraction form
    714.71/985.61 = 466.25/x
  3. Step 3: Cross multiply
    714.71x = 985.61 × 466.25
  4. Step 4: Simplify right side
    714.71x = 459,533.40
  5. Step 5: Solve for x
    x = 459,533.40/714.71
  6. Step 6: Final answer
    x = 642.97

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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.