Home / 1,052.14-1,451.98-586.40

Finding the Fourth Proportional to 1,052.14, 1,451.98 and 586.40

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Solution

The fourth proportional to 1,052.14, 1,451.98 and 586.40 is: 809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.14 : 1,451.98 = 586.40 : x
  2. Step 2: Convert to fraction form
    1,052.14/1,451.98 = 586.40/x
  3. Step 3: Cross multiply
    1,052.14x = 1,451.98 × 586.40
  4. Step 4: Simplify right side
    1,052.14x = 851,441.07
  5. Step 5: Solve for x
    x = 851,441.07/1,052.14
  6. Step 6: Final answer
    x = 809.25

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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.