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Finding the Fourth Proportional to 670.26, 1,004.87 and 464.23

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Solution

The fourth proportional to 670.26, 1,004.87 and 464.23 is: 695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.26 : 1,004.87 = 464.23 : x
  2. Step 2: Convert to fraction form
    670.26/1,004.87 = 464.23/x
  3. Step 3: Cross multiply
    670.26x = 1,004.87 × 464.23
  4. Step 4: Simplify right side
    670.26x = 466,490.80
  5. Step 5: Solve for x
    x = 466,490.80/670.26
  6. Step 6: Final answer
    x = 695.98

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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.