Home / 1,315.29-1,972.35-492.98

Finding the Fourth Proportional to 1,315.29, 1,972.35 and 492.98

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Solution

The fourth proportional to 1,315.29, 1,972.35 and 492.98 is: 739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.29 : 1,972.35 = 492.98 : x
  2. Step 2: Convert to fraction form
    1,315.29/1,972.35 = 492.98/x
  3. Step 3: Cross multiply
    1,315.29x = 1,972.35 × 492.98
  4. Step 4: Simplify right side
    1,315.29x = 972,326.64
  5. Step 5: Solve for x
    x = 972,326.64/1,315.29
  6. Step 6: Final answer
    x = 739.25

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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.