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Finding the Fourth Proportional to 712.62, 983.82 and 491.91

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Solution

The fourth proportional to 712.62, 983.82 and 491.91 is: 679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 983.82 = 491.91 : x
  2. Step 2: Convert to fraction form
    712.62/983.82 = 491.91/x
  3. Step 3: Cross multiply
    712.62x = 983.82 × 491.91
  4. Step 4: Simplify right side
    712.62x = 483,950.90
  5. Step 5: Solve for x
    x = 483,950.90/712.62
  6. Step 6: Final answer
    x = 679.11

Related Problems

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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.