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Finding the Fourth Proportional to 670.37, 1,005.40 and 237.52

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Solution

The fourth proportional to 670.37, 1,005.40 and 237.52 is: 356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.37 : 1,005.40 = 237.52 : x
  2. Step 2: Convert to fraction form
    670.37/1,005.40 = 237.52/x
  3. Step 3: Cross multiply
    670.37x = 1,005.40 × 237.52
  4. Step 4: Simplify right side
    670.37x = 238,802.83
  5. Step 5: Solve for x
    x = 238,802.83/670.37
  6. Step 6: Final answer
    x = 356.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.