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Finding the Fourth Proportional to 670.80, 1,005.89 and 397.02

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Solution

The fourth proportional to 670.80, 1,005.89 and 397.02 is: 595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.80 : 1,005.89 = 397.02 : x
  2. Step 2: Convert to fraction form
    670.80/1,005.89 = 397.02/x
  3. Step 3: Cross multiply
    670.80x = 1,005.89 × 397.02
  4. Step 4: Simplify right side
    670.80x = 399,356.46
  5. Step 5: Solve for x
    x = 399,356.46/670.80
  6. Step 6: Final answer
    x = 595.34

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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.