Home / 1,408.04-2,110.58-585.18

Finding the Fourth Proportional to 1,408.04, 2,110.58 and 585.18

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Solution

The fourth proportional to 1,408.04, 2,110.58 and 585.18 is: 877.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.04 : 2,110.58 = 585.18 : x
  2. Step 2: Convert to fraction form
    1,408.04/2,110.58 = 585.18/x
  3. Step 3: Cross multiply
    1,408.04x = 2,110.58 × 585.18
  4. Step 4: Simplify right side
    1,408.04x = 1,235,069.20
  5. Step 5: Solve for x
    x = 1,235,069.20/1,408.04
  6. Step 6: Final answer
    x = 877.15

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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.