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Finding the Fourth Proportional to 670.76, 1,004.51 and 464.75

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Solution

The fourth proportional to 670.76, 1,004.51 and 464.75 is: 696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.76 : 1,004.51 = 464.75 : x
  2. Step 2: Convert to fraction form
    670.76/1,004.51 = 464.75/x
  3. Step 3: Cross multiply
    670.76x = 1,004.51 × 464.75
  4. Step 4: Simplify right side
    670.76x = 466,846.02
  5. Step 5: Solve for x
    x = 466,846.02/670.76
  6. Step 6: Final answer
    x = 696.00

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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.