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Finding the Fourth Proportional to 670.10, 1,004.38 and 377.74

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Solution

The fourth proportional to 670.10, 1,004.38 and 377.74 is: 566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 1,004.38 = 377.74 : x
  2. Step 2: Convert to fraction form
    670.10/1,004.38 = 377.74/x
  3. Step 3: Cross multiply
    670.10x = 1,004.38 × 377.74
  4. Step 4: Simplify right side
    670.10x = 379,389.48
  5. Step 5: Solve for x
    x = 379,389.48/670.10
  6. Step 6: Final answer
    x = 566.17

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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.