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Finding the Fourth Proportional to 958.61, 1,437.46 and 438.46

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Solution

The fourth proportional to 958.61, 1,437.46 and 438.46 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.61 : 1,437.46 = 438.46 : x
  2. Step 2: Convert to fraction form
    958.61/1,437.46 = 438.46/x
  3. Step 3: Cross multiply
    958.61x = 1,437.46 × 438.46
  4. Step 4: Simplify right side
    958.61x = 630,268.71
  5. Step 5: Solve for x
    x = 630,268.71/958.61
  6. Step 6: Final answer
    x = 657.48

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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.