Home / 1,314.50-1,971.54-437.39

Finding the Fourth Proportional to 1,314.50, 1,971.54 and 437.39

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Solution

The fourth proportional to 1,314.50, 1,971.54 and 437.39 is: 656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.50 : 1,971.54 = 437.39 : x
  2. Step 2: Convert to fraction form
    1,314.50/1,971.54 = 437.39/x
  3. Step 3: Cross multiply
    1,314.50x = 1,971.54 × 437.39
  4. Step 4: Simplify right side
    1,314.50x = 862,331.88
  5. Step 5: Solve for x
    x = 862,331.88/1,314.50
  6. Step 6: Final answer
    x = 656.02

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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.