Home / 1,026.49-1,416.55-584.40

Finding the Fourth Proportional to 1,026.49, 1,416.55 and 584.40

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Solution

The fourth proportional to 1,026.49, 1,416.55 and 584.40 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.49 : 1,416.55 = 584.40 : x
  2. Step 2: Convert to fraction form
    1,026.49/1,416.55 = 584.40/x
  3. Step 3: Cross multiply
    1,026.49x = 1,416.55 × 584.40
  4. Step 4: Simplify right side
    1,026.49x = 827,831.82
  5. Step 5: Solve for x
    x = 827,831.82/1,026.49
  6. Step 6: Final answer
    x = 806.47

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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.