Home / 1,315.32-1,972.82-437.98

Finding the Fourth Proportional to 1,315.32, 1,972.82 and 437.98

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Solution

The fourth proportional to 1,315.32, 1,972.82 and 437.98 is: 656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,972.82 = 437.98 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,972.82 = 437.98/x
  3. Step 3: Cross multiply
    1,315.32x = 1,972.82 × 437.98
  4. Step 4: Simplify right side
    1,315.32x = 864,055.70
  5. Step 5: Solve for x
    x = 864,055.70/1,315.32
  6. Step 6: Final answer
    x = 656.92

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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.