Home / 1,315.81-1,972.65-536.18

Finding the Fourth Proportional to 1,315.81, 1,972.65 and 536.18

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Solution

The fourth proportional to 1,315.81, 1,972.65 and 536.18 is: 803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.81 : 1,972.65 = 536.18 : x
  2. Step 2: Convert to fraction form
    1,315.81/1,972.65 = 536.18/x
  3. Step 3: Cross multiply
    1,315.81x = 1,972.65 × 536.18
  4. Step 4: Simplify right side
    1,315.81x = 1,057,695.48
  5. Step 5: Solve for x
    x = 1,057,695.48/1,315.81
  6. Step 6: Final answer
    x = 803.84

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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.