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Finding the Fourth Proportional to 1,559.85, 2,339.77 and 586.02

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Solution

The fourth proportional to 1,559.85, 2,339.77 and 586.02 is: 879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.85 : 2,339.77 = 586.02 : x
  2. Step 2: Convert to fraction form
    1,559.85/2,339.77 = 586.02/x
  3. Step 3: Cross multiply
    1,559.85x = 2,339.77 × 586.02
  4. Step 4: Simplify right side
    1,559.85x = 1,371,152.02
  5. Step 5: Solve for x
    x = 1,371,152.02/1,559.85
  6. Step 6: Final answer
    x = 879.03

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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.