Home / 1,022.48-1,411.08-580.40

Finding the Fourth Proportional to 1,022.48, 1,411.08 and 580.40

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Solution

The fourth proportional to 1,022.48, 1,411.08 and 580.40 is: 800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.48 : 1,411.08 = 580.40 : x
  2. Step 2: Convert to fraction form
    1,022.48/1,411.08 = 580.40/x
  3. Step 3: Cross multiply
    1,022.48x = 1,411.08 × 580.40
  4. Step 4: Simplify right side
    1,022.48x = 818,990.83
  5. Step 5: Solve for x
    x = 818,990.83/1,022.48
  6. Step 6: Final answer
    x = 800.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.