Home / 1,316.24-1,972.94-584.81

Finding the Fourth Proportional to 1,316.24, 1,972.94 and 584.81

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Solution

The fourth proportional to 1,316.24, 1,972.94 and 584.81 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.24 : 1,972.94 = 584.81 : x
  2. Step 2: Convert to fraction form
    1,316.24/1,972.94 = 584.81/x
  3. Step 3: Cross multiply
    1,316.24x = 1,972.94 × 584.81
  4. Step 4: Simplify right side
    1,316.24x = 1,153,782.25
  5. Step 5: Solve for x
    x = 1,153,782.25/1,316.24
  6. Step 6: Final answer
    x = 876.58

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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.