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Finding the Fourth Proportional to 492.30, 689.70 and 492.30

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Solution

The fourth proportional to 492.30, 689.70 and 492.30 is: 689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.30 : 689.70 = 492.30 : x
  2. Step 2: Convert to fraction form
    492.30/689.70 = 492.30/x
  3. Step 3: Cross multiply
    492.30x = 689.70 × 492.30
  4. Step 4: Simplify right side
    492.30x = 339,539.31
  5. Step 5: Solve for x
    x = 339,539.31/492.30
  6. Step 6: Final answer
    x = 689.70

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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.