Home / 1,016.19-1,527.51-972.99

Finding the Fourth Proportional to 1,016.19, 1,527.51 and 972.99

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Solution

The fourth proportional to 1,016.19, 1,527.51 and 972.99 is: 1,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.19 : 1,527.51 = 972.99 : x
  2. Step 2: Convert to fraction form
    1,016.19/1,527.51 = 972.99/x
  3. Step 3: Cross multiply
    1,016.19x = 1,527.51 × 972.99
  4. Step 4: Simplify right side
    1,016.19x = 1,486,251.95
  5. Step 5: Solve for x
    x = 1,486,251.95/1,016.19
  6. Step 6: Final answer
    x = 1,462.57

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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.