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Finding the Fourth Proportional to 670.93, 1,004.76 and 397.10

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Solution

The fourth proportional to 670.93, 1,004.76 and 397.10 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.93 : 1,004.76 = 397.10 : x
  2. Step 2: Convert to fraction form
    670.93/1,004.76 = 397.10/x
  3. Step 3: Cross multiply
    670.93x = 1,004.76 × 397.10
  4. Step 4: Simplify right side
    670.93x = 398,992.71
  5. Step 5: Solve for x
    x = 398,992.71/670.93
  6. Step 6: Final answer
    x = 594.69

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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.