Home / 1,315.24-1,972.30-584.31

Finding the Fourth Proportional to 1,315.24, 1,972.30 and 584.31

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Solution

The fourth proportional to 1,315.24, 1,972.30 and 584.31 is: 876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.24 : 1,972.30 = 584.31 : x
  2. Step 2: Convert to fraction form
    1,315.24/1,972.30 = 584.31/x
  3. Step 3: Cross multiply
    1,315.24x = 1,972.30 × 584.31
  4. Step 4: Simplify right side
    1,315.24x = 1,152,434.61
  5. Step 5: Solve for x
    x = 1,152,434.61/1,315.24
  6. Step 6: Final answer
    x = 876.22

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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.