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Finding the Fourth Proportional to 492.90, 691.50 and 492.90

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Solution

The fourth proportional to 492.90, 691.50 and 492.90 is: 691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 691.50 = 492.90 : x
  2. Step 2: Convert to fraction form
    492.90/691.50 = 492.90/x
  3. Step 3: Cross multiply
    492.90x = 691.50 × 492.90
  4. Step 4: Simplify right side
    492.90x = 340,840.35
  5. Step 5: Solve for x
    x = 340,840.35/492.90
  6. Step 6: Final answer
    x = 691.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.