Home / 1,314.00-1,971.06-436.58

Finding the Fourth Proportional to 1,314.00, 1,971.06 and 436.58

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Solution

The fourth proportional to 1,314.00, 1,971.06 and 436.58 is: 654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.00 : 1,971.06 = 436.58 : x
  2. Step 2: Convert to fraction form
    1,314.00/1,971.06 = 436.58/x
  3. Step 3: Cross multiply
    1,314.00x = 1,971.06 × 436.58
  4. Step 4: Simplify right side
    1,314.00x = 860,528.67
  5. Step 5: Solve for x
    x = 860,528.67/1,314.00
  6. Step 6: Final answer
    x = 654.89

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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.