Home / 1,314.64-1,971.27-390.07

Finding the Fourth Proportional to 1,314.64, 1,971.27 and 390.07

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Solution

The fourth proportional to 1,314.64, 1,971.27 and 390.07 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.64 : 1,971.27 = 390.07 : x
  2. Step 2: Convert to fraction form
    1,314.64/1,971.27 = 390.07/x
  3. Step 3: Cross multiply
    1,314.64x = 1,971.27 × 390.07
  4. Step 4: Simplify right side
    1,314.64x = 768,937.22
  5. Step 5: Solve for x
    x = 768,937.22/1,314.64
  6. Step 6: Final answer
    x = 584.90

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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.