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Finding the Fourth Proportional to 670.02, 1,006.65 and 427.02

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Solution

The fourth proportional to 670.02, 1,006.65 and 427.02 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.02 : 1,006.65 = 427.02 : x
  2. Step 2: Convert to fraction form
    670.02/1,006.65 = 427.02/x
  3. Step 3: Cross multiply
    670.02x = 1,006.65 × 427.02
  4. Step 4: Simplify right side
    670.02x = 429,859.68
  5. Step 5: Solve for x
    x = 429,859.68/670.02
  6. Step 6: Final answer
    x = 641.56

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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.