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Finding the Fourth Proportional to 670.56, 1,003.50 and 410.45

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Solution

The fourth proportional to 670.56, 1,003.50 and 410.45 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.56 : 1,003.50 = 410.45 : x
  2. Step 2: Convert to fraction form
    670.56/1,003.50 = 410.45/x
  3. Step 3: Cross multiply
    670.56x = 1,003.50 × 410.45
  4. Step 4: Simplify right side
    670.56x = 411,881.56
  5. Step 5: Solve for x
    x = 411,881.56/670.56
  6. Step 6: Final answer
    x = 614.24

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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.