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Finding the Fourth Proportional to 670.10, 1,005.09 and 237.23

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Solution

The fourth proportional to 670.10, 1,005.09 and 237.23 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 1,005.09 = 237.23 : x
  2. Step 2: Convert to fraction form
    670.10/1,005.09 = 237.23/x
  3. Step 3: Cross multiply
    670.10x = 1,005.09 × 237.23
  4. Step 4: Simplify right side
    670.10x = 238,437.50
  5. Step 5: Solve for x
    x = 238,437.50/670.10
  6. Step 6: Final answer
    x = 355.82

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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.