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Finding the Fourth Proportional to 712, 981.93 and 463.09

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Solution

The fourth proportional to 712, 981.93 and 463.09 is: 638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 981.93 = 463.09 : x
  2. Step 2: Convert to fraction form
    712/981.93 = 463.09/x
  3. Step 3: Cross multiply
    712x = 981.93 × 463.09
  4. Step 4: Simplify right side
    712x = 454,721.96
  5. Step 5: Solve for x
    x = 454,721.96/712
  6. Step 6: Final answer
    x = 638.65

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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.