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Finding the Fourth Proportional to 670.02, 1,005.02 and 345.20

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Solution

The fourth proportional to 670.02, 1,005.02 and 345.20 is: 517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.02 : 1,005.02 = 345.20 : x
  2. Step 2: Convert to fraction form
    670.02/1,005.02 = 345.20/x
  3. Step 3: Cross multiply
    670.02x = 1,005.02 × 345.20
  4. Step 4: Simplify right side
    670.02x = 346,932.90
  5. Step 5: Solve for x
    x = 346,932.90/670.02
  6. Step 6: Final answer
    x = 517.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.