Home / 1,315.12-1,972.98-390.96

Finding the Fourth Proportional to 1,315.12, 1,972.98 and 390.96

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Solution

The fourth proportional to 1,315.12, 1,972.98 and 390.96 is: 586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.12 : 1,972.98 = 390.96 : x
  2. Step 2: Convert to fraction form
    1,315.12/1,972.98 = 390.96/x
  3. Step 3: Cross multiply
    1,315.12x = 1,972.98 × 390.96
  4. Step 4: Simplify right side
    1,315.12x = 771,356.26
  5. Step 5: Solve for x
    x = 771,356.26/1,315.12
  6. Step 6: Final answer
    x = 586.53

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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.