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Finding the Fourth Proportional to 497.02, 690.20 and 492.22

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Solution

The fourth proportional to 497.02, 690.20 and 492.22 is: 683.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.02 : 690.20 = 492.22 : x
  2. Step 2: Convert to fraction form
    497.02/690.20 = 492.22/x
  3. Step 3: Cross multiply
    497.02x = 690.20 × 492.22
  4. Step 4: Simplify right side
    497.02x = 339,730.24
  5. Step 5: Solve for x
    x = 339,730.24/497.02
  6. Step 6: Final answer
    x = 683.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.